What is the Riemann Hypothesis REALLY about?
Solve one equation and earn a million dollars! We will explorer the secrets behind the Riemann Hypothesis - the most famous open problem in mathematics - and...
🔥 Related Trending Topics
LIVE TRENDSThis video may be related to current global trending topics. Click any trend to explore more videos about what's hot right now!
THIS VIDEO IS TRENDING!
This video is currently trending in Thailand under the topic 'สภาพอากาศ'.
About this video
Solve one equation and earn a million dollars! We will explorer the secrets behind the Riemann Hypothesis - the most famous open problem in mathematics - and what it would tell us about prime numbers.
I should have mentioned one additional property, namely zeros are mirrored along the line 1/2, even though non of them are found and maybe even non of them even exist. This way, every zero not on the line would giva a harmonic with Re(s) greater than 1/2, thereby breaking the estimates for the prime counting function.
Results discussed / references
List of the 7 million-dollar Millenium Problems: https://en.wikipedia.org/wiki/Millennium_Prize_Problems
How to extend the Riemann zeta function: https://www.youtube.com/watch?v=sD0NjbwqlYw
Current best approximations for pi(x): https://www.sciencedirect.com/science/article/pii/S0022314X15001924 (Corollary 2)
"Implementation of Riemann’s Explicit Formula for Rational and Gaussian Primes in Sage": http://ism.uqam.ca/~ism/pdf/Hutama-scientific%20report.pdf
"Some Calculations Related to Riemann's Prime Number Formula": https://www.ams.org/journals/mcom/1970-24-112/S0025-5718-1970-0277489-3/S0025-5718-1970-0277489-3.pdf
"The Riemann hypothesis is true up to 3*10^12": https://arxiv.org/pdf/2004.09765.pdf
Consequences of different zero-free regions on the growth of |pi(x)-li(x)|: A.E. Ingham: The Distribution of Prime Numbers, Cambridge University Press
Scene from Big Bang Theory: S12E6 The Imitation Perturbation
Video Information
Views
706.0K
Total views since publication
Likes
18.0K
User likes and reactions
Duration
28:33
Video length
Published
Dec 12, 2022
Release date
Quality
hd
Video definition
About the Channel
Tags and Topics
This video is tagged with the following topics. Click any tag to explore more related content and discover similar videos:
#Riemann Hypothesis #1000000 #million #dollar #mathematics #math #maths #problem #harmonics #waves #prime numbers #primes #prime number theorem #zeta function #zeros #unsolved #prime counting function #Millennium #sheldon #Big Bang Theory
Tags help categorize content and make it easier to find related videos. Browse our collection to discover more content in these categories.