Riemann Hypothesis 5

Part 5 (and last) of a general-audience talk on the Riemann Hypothesis

Category:

Education

Tags:

• Screencast-O-Matic.com
• riemann hypothesis
• zeta function
• prime number

[Djuff]

What was the series at 5:32?

[davidmetzler]

@Djuff That's the series of the Mobius function, which comes into what's called Mobius inversion. It has zeros whenever the denominator is divisible by a square, -1 whenever the denominator is a product of an odd number of primes, and 1 when it's a product of an even number of primes. One way to state Mobius inversion is simply that if you multiply the function defined by this series by zeta, you get the constant function 1; i.e. this series is 1/zeta(s).

[kooky323]

Excellent Video Series! Your presentation was excellent in its material and the way you connected the deeper concepts and ideas. Our math education in general is lacking in this particular area . Continue your good work sir! Might there be some future videos in Number Theory?

[edwardowen2]

Superb. Very logical progression. That sort of simple explanatory style you have suggests you understand the topic very deeply and completely. Please continue to make these videos.

[Djuff]

@davidmetzler Thx:) And nideo series btw.

[3200manpro]

I literally made an account to commend you on these videos

[tovniko]

This series was very insightful. Thank you!

[animals0feel1pain2]

Wow. Thanks for that man. These kinds of videos reinvigorate my interest in math.