Riemann Hypothesis - Numberphile
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День томуFeaturing Professor Edward Frenkel. Here is the biggest (?) unsolved problem in maths... The Riemann Hypothesis.
More links & stuff in full description below ↓↓↓
Prime Number Theorem: • Primes are like Weeds ...
Fermat's Last Theorem: • Fermat's Last Theorem ...
Prof Edward Frenkel's book Love and Math: amzn.to/1g6XP6j
Professor Frenkel is a mathematics professor at the University of California, Berkeley - edwardfrenkel.com
The Millennium Prize at the Clay Mathematics Institute: www.claymath.org
Number Line: • Number Line - Numberphile
CORRECTION: At 7:20 the zeta function of 2 should be (Pi^2)/6 as correctly stated earlier in the video (Basel Problem)
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@monkeseeaction21987 5 років тому
And the proof of the Riemann hypothesis is trivial and left to the reader as an exercise.
@zoedesvl4131 5 років тому
possibly it will appear 100 years later
@ravitaarya 4 роки тому
Possibly i will do it
@ethanhuyck4704 4 роки тому
@@ravitaarya 5 bucks says u won't.
@ravitaarya 4 роки тому
@@ethanhuyck4704 I have a proof by elliptic functions, and modern algebra but that won't fit here. ;)
@manofmystery5191 4 роки тому
420BootyWizard I honestly wish I could believe you
@BTsNemesis 4 роки тому
This is easily the most readable handwriting of any mathematician in the history of mathematics
@DeJay7 2 роки тому
Did you watch the same video I did? That ζ was nothing like how it should look like.
@pioneer_1148 Рік тому
As a physics student I would like to enter our name into the ring. I think we might even be able to give doctors a run for their money.
@sfridisow185 Рік тому
OKAY?!!
@niks660097 11 місяців тому
@@pioneer_1148 you got nothing on advanced maths majors, even AI can't read their handwriting...
@falsetone5983 6 місяців тому
@@pioneer_1148as a fellow physics student, I agree
@adriannanad4675 4 роки тому
Riemann: Makes a statement without any proof. Is widely regards in the mathematics world. Me: Makes a statement without any proof. Gets 0 in exam.
@R3lay0 4 роки тому
This is outrageous, it's unfair!
@emeria9620 4 роки тому
I, too, make statements that all the brightest minds in the world over hundreds of years cannot prove or disprove during my exam.
@guidichris 4 роки тому
Fermat did it......
@jongyon7192p 4 роки тому
@@emeria9620 I guess you could make such statements tbh. You just need to know the topics where modern math is having a hard time solving. Any statement regarding the reimann zeta function, infinities, if a convergent sum is transcendental or not, tetration and beyond, what else? smth super abstract?
@JaySmith-rv4ro 4 роки тому
Adrian Nanad 😂😂🤣🤣😂😂
@talhatariqyuluqatdis 3 роки тому
"you can mark your favourite fractions" said like a true mathematician lol
@elirane85 7 років тому
Not sure why but his Russian accent makes me understand math better. My all time favorite Numberphile video.
@JorgetePanete 6 років тому
eliran zach because you feel the vodka just by listening
@JTCF 5 років тому
I understood that he's Russian just when heard him. Russians know who's Russian and who's not.
@senatorpoopypants7182 5 років тому
It's actually a German accent
@bluerinako 5 років тому
no
@xavemsk88 5 років тому
Me hear russian accent too. It's interesting because the man who named edward frenkel cannot be russian.
@PRT976 5 років тому
His way of explaining things is really amazing. He simplifies the things very nicely.
@hellotheremyolfriend 4 роки тому
mathematician's brain at work
@prakash_77 4 роки тому
"If you can't explain it simply, you don't understand it well enough" - Albert Einstein
@kostoffj 4 роки тому
Simply explaining the very complicated is the mark of genius
@ishworshrestha3559 4 роки тому
Ok
@caparroz1923 3 роки тому
Quanta Magazine have a wonderful video about Riemann Hypothesis. Frankly, I think it's an uncrackable problem, tbh. Physicists assume it's true and there are dozens of well established theories that are build upon it being true. It's fascinating, nonetheless.
@revenevan11 2 роки тому
8:55 I love how he answered "Da" in response to Brady's question and then corrected it to yes 😆
@9090Glenn 4 роки тому
not quite true - Grigori was willing to accept the 1,000,00.00$USD prize however on condition that the award was co-awarded to another mathematician Richard S Hamilton the pioneer of the Ricci Flow whom Perelman credited with providing the basis for his own work - the committee declined to do this and instead simply withdrew the prize money denying both Perelman and his fellow mathematician Hamilton - I quote "Perelman refused to accept the Millennium prize in July 2010. He considered the decision of the Clay Institute unfair for not sharing the prize with Richard S. Hamilton and stated that "the main reason is my disagreement with the organised mathematical community. I don't like their decisions, I consider them unjust."
@1996Pinocchio 4 роки тому
Thank you
@speedsterh 4 роки тому
Didn't know that, thanks for the clarification of this story
@zsolttildy5742 4 роки тому
why wouldnt he just accept it then send half of it to Hamilton?
@oleggladkikh951 4 роки тому
£~ _ €.
@unuuu5541 4 роки тому
zsolt tildy Because that will be seen as a charity rather than a prize that he deserves.
@TheGamblermusic 8 років тому
my daily job is to sell fruits and vegetables, I was pretty bad at school in mathematics, and i'm here watching hours of mathemematical videos and i enjoy them so such because I can actually follow up. Thank you numberphile, deeply.
@morganirosonna2871 5 років тому
Gl my dude
@ThatModestCow 5 років тому
This comment is so wholesome. Keep on learning
@howardlam6181 5 років тому
Wait, so you know what is an analytic function, the use of complex plane, and de moivre theorem?
@Legend_Hunter_Original 5 років тому
@@howardlam6181 lol I'm guessing he knows about logarithmic branch cuts too
@FisicoNuclearCuantico 4 роки тому
Keep on learning!
@alexhoffmann9648 7 років тому
8:54 "да... uh, yes" I love this Russian guy.
@maximusdizon7267 6 років тому
Alex Hoffmann no comments? here have a comment
@abrahamholleran4162 6 років тому
Have another comment!
@narcotic702 6 років тому
10 months later, I think you deserve another comment.
@oscityperplexity2312 6 років тому
3 weeks later you're rewarded another comment
@abdoufma 6 років тому
Here's your comment for the week.
@TheGermanLPGaming 4 роки тому
This has been the simplest explanation of complex numbers, ever.
@TheVivi13 4 роки тому
Really? I've been introduced to complex numbers in probably like 10 different classes at this point and it's always in a similar fashion to this. Saying that we simply cannot say sqrt of -1 doesn't exist so we assign it an imaginary value which then creates a complex plane.
@NateROCKS112 2 роки тому
@@TheVivi13 however, the main reason it's a cartesian plane (i.e., one with both basis "vectors" being orthogonal) is due to a slightly deeper property about i.
@ypey1 2 роки тому
I have heard this explanation of complex numbers many times, but they often fail to explain the benefits of not discarding the i. That keeping the i in there opens up a whole new world of possible transformations and calculations. Continuing math beyond its borders. Like Rieman was extending the zeta function beyond its borders.
@NateROCKS112 2 роки тому
@@ypey1 for most stuff, it's just a utility thing. You _could_ try to represent everything as a 2D vector, but complex numbers can be treated exactly like real numbers in most cases, so they're easier to work with, e.g., with exponentiation. For example, you could also represent negative numbers as a subtraction problem (and indeed there's a construction that does this), with a tuple of, e.g., (1, 3), but it's so much easier to just call -2 a number. Edit: The comparison isn't exactly the same, since vectors and complex numbers have different algebraic properties (whereas the tuple construction is a construction of the model of, say, integer arithmetic, so it has the same structure).
@ishworshrestha3559 2 роки тому
Ok
@itisinfactpaul2868 3 роки тому
Fun fact: quantum computing algorithms have successfully managed to find prime numbers using a method that is only effective if the Riemann Hypothesis is correct. Of course, that's empirical evidence, not a mathematical proof, but maybe that just makes it even more interesting!
@rociot4690 3 роки тому
Riemann Hipothesis’ could well be one of the unprovable statements foreseen by Gödel’s incompleteness theorem - a true statement which cannot be proved within the given set of axioms!
@arielfuxman8868 3 роки тому
Is Math becoming empirical?
@michaelnguyen8121 3 роки тому
Man in the world of Quantum Mechanics everything is possible. I wouldn't be surprised that in quantum mechanics may suggested that the universe is both finite and infinite at the same time.
@MaD0915 3 роки тому
@@rociot4690 even if it was unprovable, you can still prove something is false only if it's false. So you would just have to show that you can't prove the hypothesis as false. As far as I'm aware anyway
@evalsoftserver 3 роки тому
A Solution for the RIEMANN ZETA FUNCTION is extremely valuable because It also point to Solutions for enhancing the HAMILTON GEOMETRZATION Poincare conjecture, Hodge Invariance conjecture as it relates to PRIME NUMBERS and Doing Arithmetic past ZERO or Singularity as it is called in Analytic Geometry , and Algebraic Geometry, and it Directly points to the Prime factorization Algorithm , the Division algorithm, and the QUADRIATIC FORMULA This Solves many DIMENSIONS and RANK IN THE COMPLEX FUNCTION PLANE for MANIFOLD like The Kahler MANIFOLD ,CALIBU YAU MANIFOLD simeoustanesly and Points to Soulutions to the entire Millennium Prize Problems proposed by The Early 20th Century Philospher and Mathematician David HILBERT , Including the YANG-MILL Mass GAP , and the NP COMPUTATION time space COMPLEXITY problem also know as the Traveling Salesman problem
@vinaloi41 10 років тому
This should be a series. Like I would love to see a video on all the Millennium Problems. Especially the one that was solved.
@Takin2000 6 років тому
Cold Ham on Rye an infinite series
@lucashoffses9019 6 років тому
You might’ve already seen it, but in case you haven’t, they’ve made a video about the poincare conjecture, which is the one that was solved. I’d also like to see videos about the other millenium problems.
@tonatiuhcortes9968 6 років тому
The one of the solved one (Poincaré Conjecture) has already been uploaded. Check it out :)
@MrTechnikaal 5 років тому
Yes dey have made videos about 3 of Dem..p-np problem,reimann hypothesis and poincare conjecture. dey need to need make videos about remaining 4..I find especially hard to understand yang-mills problem
@TheAlps36 3 роки тому
They also made one on Navier-Stokes
@derekpezzella7182 8 років тому
I love how passionate the speakers are in Numberphile videos.
@Safwan.Hossain 5 років тому
Makes sense. Most of these guys will only ever communicate to a maximum of maybe to 500 people in a lecture at one time? They're getting an not so common opportunity interacting with a huge amount of people interested in the subject (numberphile fans subscribers)
@sineporfa9053 5 років тому
Passion is sexy.
@MrZombieexpert27 4 роки тому
I love how Grady, who obviously really enjoys mathematics, can phrase a question to the guest like he's never seen an integral or a derivative in his life.
@TheOfficialSkriIIlex 4 роки тому
When Jamie Lannister becomes a mathematician
@paradoarify 4 роки тому
Peter Griffin and Amy Adams?
@justamanofculture12 4 роки тому
I thought the same lols 😂
@geraltofrivia2570 4 роки тому
guy pearce
@achenyanthan5431 4 роки тому
Bruuhh...
@ishworshrestha3559 4 роки тому
Ok
@cryptexify 7 років тому
Thank you, Jaime Lannister.
@sumitno10 7 років тому
first thing came to my mind
@mariomuysensual 7 років тому
HAHAHA that's the first thing i think
@ginolalthazuala8880 7 років тому
looooooooll!!!!!!!!!!!!!!
@Belgdor 7 років тому
More like Gendry
@saultube44 6 років тому
He has some resemblance, but in any case, Russian Jaime Lannister
@ILykToDoDuhDrifting 8 років тому
This guy is an awesome teacher.
@francorende4305 8 років тому
am I the only one who thinks all math teachers should have that accent
@rewrose2838 6 років тому
Ah if only people like him would become teachers~ (and not just snobs who gain pleasure from making lives of kids around town worse)
@RB-kr6jo 5 років тому
for real! never had something so clearly explained
@Superman37891 5 років тому
ILykToDoDuhDrifting I swear. If anyone solves this problem, it will be one of his students!
@brandonfreese3005 2 роки тому
I studied engineering, but listening to this magician talk about Maths really makes me feel like I should have gone into Maths. It's always such a pleasure to have a teacher or lecturer be patient about the work they're teaching. It inspires students far more than anything else.
@jschnabes13 2 роки тому
I could listen to this man talk about math forever. He makes the incredibly complex easy to understand for the laymen.
@JcGross93 10 років тому
New Vsauce video, new Numberphile video... These are glorious days, I tell you.
@TheBhuvan002 10 років тому
Waiting for CGPGrey now.
@ace.of.space. 7 років тому
I watched Professor Frenkel in this video quite a while ago, and now he is my professor. Things work out wonderfully sometimes.
@themightybrick2264 5 років тому
craftysunshine I wish he was my professor to, but I was rejected from Berkeley. Might apply for grad school though, I’d honestly go there just to talk to this guy in Russian, потому что я тоже русский
@talhatariqyuluqatdis 4 роки тому
Damn
@YosmHere 2 місяці тому
I will solve the Riemann Hypothesis
@clusteringmiu 2 дні тому
Yo bro I want $1 from the million dollars
@athuldevraj3948 3 роки тому
I am gonna prove it. Believe me I am just 15 now, by the age of 30, I would prove it. It’s my contribution to the world’s best subject.
@jellyj1696 3 роки тому
All the best for that big guy
@athuldevraj3948 3 роки тому
@@jellyj1696 thank you sir. All the best for your future ventures too
@jellyj1696 2 роки тому
@@athuldevraj3948 thankyou. Well how's your progress
@willywonka1962 2 роки тому
@@athuldevraj3948 Perhaps look at what Terrance Tao said about becoming obsessed with a big problem first. You must have a solid understanding of everything else and a varied toolkit. These haven't been solved for a reason. They require entirely new math which needs to be made from scratch. All the best luck.
@athuldevraj3948 2 роки тому
@@willywonka1962 sure sir! Thank you for the support and advice
@woodsmith_1 7 років тому
"There is more to this than meets the i."
@hermannballesterosv 8 років тому
The best explanation yet to a very complex problem. This man is an exemplary teacher.
@benbrown3786 3 роки тому
"And at 1, that value will be, you guessed it, minus 1/12." The rest of the world:
@aadiupraity3556 3 роки тому
S. Ramanujan blesses you from heaven
@NateROCKS112 2 роки тому
It's -1, not positive 1. Zeta(1) doesn't exist.
@skyiloh7460 2 роки тому
@@NateROCKS112 doesn't zeta(1) diverge?
@NateROCKS112 2 роки тому
@@skyiloh7460 that's just a specific way to say it doesn't exist. Edit: But to answer your question, yes, because Zeta(1) is just the harmonic series.
@skyiloh7460 2 роки тому
@@NateROCKS112 exactly!
@azhar07464 4 роки тому
This is the best introduction to complex numbers I have seen.
@brunesi 2 роки тому
Actually a far better way is to think 'which representation, when squared, leads to -1. let's call it √-1. -1 is, also, a 1 oriented to 180°. if you multiply 1 by -1, it rotates it 180°. if you multiply 1 by √-1, it will rotate 90°. multiply again, it will rotate 180°. ' this has broad use, for instance, in electrical circuits and electrical engineering. moreover, one can easily see the relation with sines and cosines, Euler formula etc.
@CHARrrrrrrrr 8 років тому
I have no idea whats going on, but i feel smart just watching
@smittywerbenjagermanjensen7027 8 років тому
+CHARrrrrrrrr Welcome to math
@ErojFeeding 8 років тому
+CHARrrrrrrrr what does it mean if I do understand it then??
@smittywerbenjagermanjensen7027 8 років тому
***** Welcome to math class
@joeq6683 7 років тому
+Smitty Werbenjagermanjensen This is much better than math class. Math class teaches the fundamentals whereas UKposts teaches the abstract and complicated topics.
@sirdondaniel 7 років тому
I would give you a like for that comment but I don't want to encourage that way of being cool :)
@ckmishn3664 7 років тому
"In this care there's more to it than meets the 'i"" Specifically 1/2 more than that part that meets the i.
@thomaszoyzoy1811 4 роки тому
ghlok
@gregk.6723 4 роки тому
Time for pie, apple pie that is.
@wearenoless6732 4 роки тому
Me: I understood what has been said in this video My brain: it is a trap,it is a trap ,it is a trap.
@workout9594 4 роки тому
we are no less I swear I'd watch a video and understand it, then read my textbook and I have no idea what is going on
@revenevan11 4 роки тому
@@workout9594 and in my case I then then read the textbook and eventually feel like I understand it, but repeat this pattern when I first read the exam. The problem is that I can't exactly afford to repeat that until I understand though lol
@Jivvi 4 роки тому
When you think you understand it, that is evidence that you don't understand it.
@samsteel4456 5 років тому
How wonderfully enjoyable to listen to a master speak about a field he is both brilliant in and passionate about.
@MrJaco324 8 років тому
I have a truly marvelous proof for the Riemann hypothesis that this comment section is to small to contain.
@wierdalien1 8 років тому
That's terrible. Get out.
@MichaelGoldenberg 8 років тому
+MrJaco324 I have a marvelous proof for ALL the Millennium problems, which unfortunately my brain is too small to contain.
@anarcho.pacifist 8 років тому
+MrJaco324 Fermat, is that you? :)
@gfetco 8 років тому
+Daniel Șuteu Didn't Fermat create more problems than he solved? :P
@saintcelab3451 8 років тому
+MrJaco324 Fermat? haha
@Herrenhandtasche35 9 років тому
That was the best explanation of imaginary numbers I ever heard.
@BanditFoxx 3 роки тому
Never learnt anything well from any of my past math teachers, first time I hear about most of the concepts in this video and this guy has made them crystal clear to me.
@clutcherhierts 4 роки тому
There's nothing more satisfying than watching a mathematician enjoy his craft.
@justinsiehl4666 10 років тому
This is the stuff I want to do for a living...I love wrapping my head around things like this, even if I make no progress on them. I've loved numbers for as long as I can remember. The way everything in math connects and intersects is beautiful to me. It's mind blowing to think that we, humans, some random species on some random hunk of rock in this absolutely massive universe, have developed a universal language to define everything we observe, everything we can't observe, and everything in between. I really hope I'm still around when some of these brain stumping math problems and equations are finally figured out. To see what advances could be made once we have some of the answers. It'd be even more interesting to know what the people that originally thought them up would have done with them if they had figured them out.
@vandibox 8 років тому
+Justin Siehl Well for now you have to deal with whips and nae nae's. Yes I do realise im 2 years to late.
@Felipe_Ribeir0 6 років тому
Justin Siehl we have developed a universal language or we discovered a universal language? Math isnt a human creation, according to some people. Its much more than that
@donabhyuday 7 років тому
"We can ban root of minus 1" "This is a bad point" I laughed too hard 😂
@JeremySchwartz2027 4 роки тому
Me too
@vaishnavikhare2879 2 роки тому
Dr Eswaran from India has proved it!
@star_ms 2 роки тому
No
@sanjoggururaj4674 2 роки тому
Here after the Indian Mathematician proved the hypothesis. Absolutely mind blowing.
@ssimarsawhney 7 років тому
this is my professor at berkeley next semester. Im am so friking ecstatic
@user-go7sr1zf6d 4 роки тому
ssimarsawhney have you finished your education?)
@jac1011 4 роки тому
@@user-go7sr1zf6dAll the math broke his brain, he's long gone lol
@AzureFlash 10 років тому
I've come to learn that everything with Riemann's name on it is a massive headache inducer
@Louigi36 10 років тому
Not quite everything, Riemann Integral is pretty simple and straightforward, You cut an area into many rectangles and sum up their respective size. Everyone knows what rectangles are and how you can calculate their area, so it's really easy to visualise.
@ZardoDhieldor 10 років тому
I love Riemann. All the cool stuff in maths is named after him! :D
@ThisNameIsBanned 10 років тому
1 Million Riemann Dollar !
@NomadUrpagi 3 роки тому
How about a "Riemann" paracetamol pills? Will they also give you a headache?
@kumardigvijaymishra5945 4 роки тому
I love math, and respect to Prof Edward Frenkel for explaining Reimann zeta function, and conveying that mathematicians should be open to unconventionality to seek new answers.
@jimbo6238 2 роки тому
yup. agreed...
@facusoi 4 роки тому
8:24 Nice
@user-qz5dh1sw7b 6 місяців тому
Nice
@Number-cz1rd 9 років тому
"Then you can mark your favorite fractions" on the line. After all, who doesn't have a favorite fraction or two? :-)
@1996Pinocchio 4 роки тому
I have one half favorite fraction
@YnseSchaap 7 років тому
It;s the brown paper isn't it, you need the brown paper
@eldiablo7455 5 років тому
Ynse Schaap and a sharpie
@user-js8ut1bx4c 5 років тому
And a dollar 40 cents annoying pen from Tesco
@eugenesagan212 5 років тому
Ynse Schaap never seen ‘it’s’ spelled with a semicolon
@peterparker-or2os 4 роки тому
i love the videos but the marker on the brown paper is so cringy.
@lolgamez9171 4 роки тому
@@peterparker-or2os wat?
@nodnarbnaelc6819 Рік тому
This is the best guy on Numberphile. When others explain the RZ function, it seems to go over my head. When he explains it, it seems so simple that elementary school me could have grasped it.
@barmouthbridge8772 Рік тому
This bloke exudes intellect and charm. I can watch this clip repeatedly as I can the Graham's number clip and the Collatz conjecture one. These narrators of themes of such complexity are both humble and like flashlights illustrating a window into darkness for those of us grasping at these fascinating concepts. Special mention to Holly Krieger for being a fractal femme extraordinaire.
@kwas101 10 років тому
This guy is a great teacher. I wish he had have been my maths teacher, he distills the basics down so a maths dope like me can understand it perfectly :-)
@antiHUMANDesigns 10 років тому
I've solved it. But I'm not going to tell anyone.
@ejohnso1967 Рік тому
I'm not a math whiz, but I find the explanations of Prof. Frenkel to be clear and easy to follow. I imagine he is a rather popular teacher?
@alfredhitchcock45 День тому
I love it when a Non Native English Speaker explains Math, it's direct to the point and concise
@baixado4ever 6 років тому
I love it the video says "keep watching" when our old friend from -1/12 videos appears
@richo61 9 років тому
This is my favorite Numberphile video. And it does NOT back up the false assertions made in the "-1/12" videos. (Which are my least favourite of all Numberphile videos.)
@numberphile 9 років тому
richo61 have you ranked them all?
@elingeniero2000 9 років тому
Im an engineer so I am no expert on theoretical mathematic. I understand it blows up but why does the process they used to end up with -1/12 incorrect. substitution is a valid procedure in math
@richo61 9 років тому
Numberphile "have you ranked them all?" Not yet! Of the ones I have so far viewed, this is my favorite. 8-)
@elingeniero2000 9 років тому
Goyathlay Amedeo thank you makes sense
@nileshjambhekar7699 9 років тому
Yes but that is a direct contradiction. This video is based on the riemann zeta function which says that zeta(-1)=-1/12. They showed it to you via "floozy" math but it's a serious result in math. I don't claim to understand what it means, but it is what it is.
@shivrajpatil1770 2 роки тому
I was searching Google for long to at least understand what is the purpose of Riemann function. Now it's easy. Damn this person.
@JDSpartan2007 7 днів тому
Ten damn years later and this is still one of the best explanations I've ever seen of the Riemann zeta function and hypothesis.
@sjg4388 8 років тому
What an easy explanation! I love his Russian accent.
@TheLoveKusano 7 років тому
Я тоже сразу заметил: русский человек.
@biomech7 7 років тому
+či šo suka či šo Он даже один раз где-то "да" сказал, оговорился )
@xamzx9281 7 років тому
да да, вместо three три говорит :)
@sori227 7 років тому
Rare seeing another korean around on an english video!
@sjg4388 7 років тому
님 한국인임? 근데 이름이 왜 이렇게 독일스러움?
@villanelo1987 10 років тому
I love the random "keep watching!" message. Do they think we are going to say something like: "nope, this video is longer than 4 minutes... that is too much interesting information for me today!! I have to stop watching RIGHT NOW!!" xD
@Rick_McDick 10 років тому
I think it was to quell all of the youtube math experts starting a shitshow about how that particular sum is -1/12 because they watched Numberphiles other video
@TheMrvidfreak 10 років тому
Did you notice what was being discussed right when the annotation appeared?
@Darwin226 10 років тому
It's because he says 1+2+3+... doesn't equal any number and they have a video about it equaling -1/12.
@kylobite 10 років тому
I think it is more to prevent pointless questions/rants in the comments that could be avoided if they just watch the next few seconds.
@lukasdon0007 10 років тому
It's because otherwise people would all immediately pause the video in utter outrage because they KNOW 1+2+3+4... = -1/12
@Rumour10 2 роки тому
An Indian physicist solved it. Cheers to him
@mypointofview3264 2 роки тому
it's still unsolved !!
@mowskii5791 2 роки тому
Not for certain.
@tigrantadevosyan731 2 роки тому
This is definitely the best Numberphile video. Mathematics is beautiful but the way in which maths is taught in classrooms around the world makes it boring and disinteresting. Thanks to videos like these , channels like Numberphile and applications like Mathematicia, Wolfram Alpha and Matlab, learning maths becomes exciting.
@stevesybesma 5 років тому
Extremely interesting. I've heard of the Riemann Hypothesis but never knew what it was until now.
@sudiXP 5 років тому
Him: "It's an answer you can find online." Me: "I am online man."
@moamenabdelkawy5718 4 роки тому
Incredible explanation. Pure gold. Videos like this keep me from uninstalling UKposts.
@chrisrace744 4 роки тому
This was so well explained. Very well done. Great video! So insightful.
@OmegaRainbow 10 років тому
love the passion Prof Ed Frenkel shows for his math :D
@photographe06 10 років тому
Fantastic accent and delivery. Bravo!!
@r6854 4 роки тому
Wow, you can feel this guy's passion for math
@ayoubab2120 4 роки тому
the Riemann haircut looks like the integral symbol
@lux27.42 3 роки тому
hahahahahahhahahahaha.....
@baronvonbeandip 2 роки тому
He walked the walk.
@olivervalmes170 2 роки тому
😂😂😂😂😂
@DavidMoscoeUni 10 років тому
At 7:20 the video shows the calculator returning a value of pi/6 for when 2 is the input of the function, but it says earlier in the video that the value is pi squared over 6
@numberphile 10 років тому
sorry
@CRGreathouse 10 років тому
pi^2 / 6 is correct. The special effects are cool, but take them with a grain of salt!
@VagrantWatcher213 8 років тому
Numberphile it's ok
@strengthman600 8 років тому
Description dude
@BenWithington 8 років тому
He wrote that 2 years ago, the description was updated after numberphile read the comment
@cscooperau 10 років тому
Could we possibly get a video explaining how the non-trivial zeros relate to prime number distribution?
@crazedvidmaker 10 років тому
Get a master's degree in number theory
@cscooperau 10 років тому
Andrew Christensen Too busy doing PhD in telecom
@jeremyj.5687 10 років тому
Yeah, this is kind of the elephant in the room after this video. I have no idea how the two are related and I´d really like to know. Maybe we´ll get an "Extra Stuff" of this video.
@cscooperau 10 років тому
Jeremy J. I am aware of how the behaviour of the Riemann Zeta Function relates to Prime Numbers, because it is equivalent to an infinite product function of all Prime Numbers. Also, the Riemann Hypothesis is equivalent to another conjecture that states the error of the Prime Counting Function has a definite limit. However, I'm not sure how the non-trivial zeros are related to it.
@NoriMori1992 4 роки тому
Love Edward Frenkel's accent. And I respect him even more than before, after listening to his episode on The Numberphile Podcast.
@sebastianz.773 4 роки тому
love how tidy and clear his annotations on the paper are. I can't understand my own writing after i write more than 3 letters.
@oggassaggaoggaffa 5 років тому
This is probably the most coherent and enthusiastic explanation of a math mind-bender that I have ever seen. Talk about breathing life and importance into an otherwise dull concept! Well done sirs.
@Bobskilintopia 10 років тому
He has beautiful writing.
@marcinkaczmarek6156 10 років тому
I opt for Walter Lewin in that matter. I've developed my 'mathematical' writing style by mimicking what i saw at his famous physics course.
@thegreatreverendx Рік тому
The interviewer’s blunt questioning is just hilarious.
@samuelwu5648 3 роки тому
this is now my favorite professor featured on numberphile
@sriram828 9 років тому
I want to really thank Numberphile for teaching me about Riemann Hypothesis clearly because I had struggled very much to understand this problem since when i learnt about the Milllennium problems. Thank you so much for describing briefly about Riemann Hypothesis
@archangel9524 5 років тому
IF i have had seen this video 12 years ago I would probably fall in love with math. Great stuff
@projectRA4 Рік тому
When Edward used analytical continuation and out popped -1/12 where infinity was supposed to be, it felt like magic. I remember watching Numberphile’s -1/12 video and thinking that Ramanujan’s proof was not meaningful. This was super beautiful and Edward made the explanation entertaining!
@davip116 8 місяців тому
I didnt' get how zeta(-1)=infinity at the start of the video, and became zeta(-1)=-1/12 at the end.
@projectRA4 8 місяців тому
@@davip116 There are two ways to right the riemann formula. Either by saying (1/n) + (1/n^2) + ... OR by plugging it into a sigma sum. The sigma sum is what gives -1/12, while just writing the infinite sequence does not.
@billbez7465 7 місяців тому
9 years ago or 1000 years in the future, this will always be an excellent video.
@michaeldunlap111 7 років тому
Very interesting. I'm currently studying Complex Analysis right now. Since I found it so similar to Vector Calculus, I'm constantly going back to it to find the corresponding arithmetic operations between the two. I'm excited to find out that my current studies are approaching the Riemann Zeta function, and that it plays an important role in the distribution of prime numbers. Thank you for your video!
@TheDiggster13 10 років тому
I could spend an entire day listening to this guy talk! He's so entertaining to watch.
@derekwilson3301 4 роки тому
7:19 that calculator of yours is faulty
@xdavidliu 4 роки тому
yep; there was a typo; should have said pi^2/6 but instead said pi/6
@blackholesun4942 8 місяців тому
Euler Zeta function Imaginary number Extending function Riemann hypothesis
@Randy_McShandy 7 років тому
The real unsolved problem is if this guy will ever blink
@Tukan435 7 років тому
4:17
@lamzez94 7 років тому
Not a blink actually, he simply roll his eyes downside creating the illusion of blinking. He never blinks until disproven.
@ricekka 7 років тому
15:17
@Cool99MG 6 років тому
Zolth fake news
@ivanlusenko4674 6 років тому
We don't blink in Russia. No blink, no smile. Only while testing nuclear weapons.
@footie21 10 років тому
Don't have the foggiest what is going on mathematically here but I love his accent so I'm still watching.
@Prasen1729 3 роки тому
This video is such a treat to watch. I see it time and again.
@Axel_Roffi 8 місяців тому
Not sure if making 1 million by resolving this problem is the most difficult way to make 1,000,000 usd but it surely would be the most most beautiful way to make 1,000,000usd
@RamboMadCow 5 років тому
You can feel the passion for math when this professor speaks. Makes me wish I had time to learn complex math.
@bkzlab 9 років тому
This guy has explained it so well. Bravo and thank you sir!
@cheyma7945 4 роки тому
I'm in love with his accent!
@segueoyuri 2 роки тому
Russian, pal.
@ashutoshkumarjha41 3 роки тому
Thanks sir, for explaining so beautifully about zeta function. Simple and eloquent.
@RogueDemonZ 10 років тому
The answer is 42. Thank you, I'll take my million dollars now.
@PaulReich321 10 років тому
lol
@EddyProca 10 років тому
That's not between 0 and 1 ;)
@Gehenneration 10 років тому
Eddy Proca what about .42 then? :D
@TheForce 10 років тому
after 1+2+3+4... being -1/12 I can belive 42 is between 0 and 1
@ZardoDhieldor 10 років тому
Error: Implicit convertion from integer to boolean failed!
@ekinebobmanuel4551 7 років тому
I'm only seven minutes in and this guy just explained imaginary numbers in such a comprehensive way that... I think I finally get it It's beautiful I think I might cry
@davidwilliansmorante9798 3 роки тому
Magnificent explanation, it is the first time in my short life that I understand something clearly
@sufficientlyoldskool 7 років тому
I wish I was smart enough to even attempt to solve something like this.
@abdurrazzak305 7 років тому
Comments like these assure me that I'm not alone :P
@pooly666 7 років тому
If you were that smart, you wouldn't care about money, so you wouldn't attempt it, or just for fun, just like this russian guy who refused the 1M $ prize on one of this problem . ;) no hate.
@pooly666 7 років тому
***** i never saw that, but come on ... that is too obvious. Even if your comment is pretty well placed.
@mitica7914 7 років тому
Oh Yeahh Really i domt think u can call "too obvious" he didnt mention anything about that, i mean could be but i dont know where did you get it from his comment
@justjulied 7 років тому
sufficientlyoldskool you are smart enough, it doesn't hurt to try.
@winter32842 10 років тому
Thank you Brady for doing a piece on Riemann hypothesis. I have been waiting for this for a while.
@nixonkutz3018 4 роки тому
I like that he explains sqrt(-1) is called "i" because "we imagined it." There's still plenty of debate about whether "real" numbers are any less just a product of our imaginations!
@blacktimhoward4322 3 роки тому
Not among smart people :)
@gregorsamsa1364 3 роки тому
They are
@Gersberms 6 місяців тому
This guy is great, his presentation is amazingly easy to follow.
@MissWWEDivasLover 10 років тому
I don't understand maaaaaany things about this theorem but I love the accent and it kept me watching xD
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