What is the Riemann Hypothesis?
This video provides a basic introduction to the Riemann Hypothesis based on the the superb book 'Prime Obsession' by John Derbyshire. Along the way I look at convergent and divergent series, Euler's famous solution to the Basel problem, and the Riemann-Zeta function. Analytic continuation
From playlist Mathematics
Understanding and computing the Riemann zeta function
In this video I explain Riemann's zeta function and the Riemann hypothesis. I also implement and algorithm to compute the return values - here's the Python script:https://gist.github.com/Nikolaj-K/996dba1ff1045d767b10d4d07b1b032f
From playlist Programming
Riemann Sum Defined w/ 2 Limit of Sums Examples Calculus 1
I show how the Definition of Area of a Plane is a special case of the Riemann Sum. When finding the area of a plane bound by a function and an axis on a closed interval, the width of the partitions (probably rectangles) does not have to be equal. I work through two examples that are rela
From playlist Calculus
MATH331: Riemann Surfaces - part 1
We define what a Riemann Surface is. We show that PP^1 is a Riemann surface an then interpret our crazy looking conditions from a previous video about "holomorphicity at infinity" as coming from the definition of a Riemann Surface.
From playlist The Riemann Sphere
Sir Michael Atiyah | The Riemann Hypothesis | 2018
Slides for this talk: https://drive.google.com/file/d/1DNHG9TDXiVslO-oqDud9f-9JzaFCrHxl/view?usp=sharing Sir Michael Francis Atiyah: "The Riemann Hypothesis" Monday September 24, 2018 9:45 Abstract: The Riemann Hypothesis is a famous unsolved problem dating from 1859. I will present a
From playlist Number Theory
Some identities involving the Riemann-Zeta function.
After introducing the Riemann-Zeta function we derive a generating function for its values at positive even integers. This generating function is used to prove two sum identities. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist The Riemann Zeta Function
The Riemann Hypothesis, Explained
The Riemann hypothesis is the most notorious unsolved problem in all of mathematics. Ever since it was first proposed by Bernhard Riemann in 1859, the conjecture has maintained the status of the "Holy Grail" of mathematics. In fact, the person who solves it will win a $1 million prize from
From playlist Explainers
More identities involving the Riemann-Zeta function!
By applying some combinatorial tricks to an identity from https://youtu.be/2W2Ghi9idxM we are able to derive two identities involving the Riemann-Zeta function. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist The Riemann Zeta Function
The Field With One Element and The Riemann Hypothesis (Full Video)
A crash course of Deninger's program to prove the Riemann Hypothesis using a cohomological interpretation of the Riemann Zeta Function. You can Deninger talk about this in more detail here: http://swc.math.arizona.edu/dls/ Leave some comments!
From playlist Riemann Hypothesis
"What is the Riemann Hypothesis and why does it matter?" by Ken Ono
The Riemann hypothesis provides insights into the distribution of prime numbers, stating that the nontrivial zeros of the Riemann zeta function have a “real part” of one-half. A proof of the hypothesis would be world news and fetch a $1 million Millennium Prize. In this lecture, Ken Ono wi
From playlist Number Theory Research Unit at CAMS - AUB
Worldwide Calculus: Improper Integrals
Lecture on 'Improper Integrals' from 'Worldwide Integral Calculus' and 'Worldwide AP Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Continuous Sums: the Definite Integral
The Riemann Hypothesis - Jeff Vaaler [Millennium Prize Problem, Official Introduction] [2001]
In May 2000, at the College de France in Paris, The Clay Mathematics Institute of Cambridge Massachusetts (CMI) announced seven "Millennium Prize Problems", designating a $7 million prize fund for the solution to these problems, with $1 million allocated to each. The Department of Mathemat
From playlist Number Theory
The Riemann Hypothesis and a New Math Tool (a new Indeterminate form)
In this video, you will see a mistake made by many(*) mathematicians. Also, you will see a simple proof for a new(**) indeterminate form that has an incredible connection to the Riemann hypothesis. Lastly, you will see a route to a new promising math tool to solve problems like the Rieman
From playlist Summer of Math Exposition 2 videos
The Riemann Hypothesis is one of the Millennium Prize Problems and has something to do with primes. What's that all about? Rather than another hand-wavy explanation, I've tried to put in some details here. Some grown-up maths follows. More information: http://www.claymath.org/publications
From playlist My Maths Videos
Riemann Hypothesis - Numberphile
Featuring Professor Edward Frenkel. Here is the biggest (?) unsolved problem in maths... The Riemann Hypothesis. More links & stuff in full description below ↓↓↓ Prime Number Theorem: http://youtu.be/l8ezziaEeNE Fermat's Last Theorem: http://youtu.be/qiNcEguuFSA Prof Edward Frenkel's boo
From playlist Edward Frenkel on Numberphile
Peter Sarnak - Zeta and L-functions [ICM 1998]
ICM Berlin Videos 27.08.1998 Zeta and L-functions Peter Sarnak Princeton University, USA: Number Theory Thu 27-Aug-98 · 11:45-12:45 h Abstract: The theory of zeta and L-functions is at the center of a number of recent developments in number theory. We will review some of these developm
From playlist Number Theory
David Neilsen (4) -Introduction to numerical hydrodynamics
PROGRAM: NUMERICAL RELATIVITY DATES: Monday 10 Jun, 2013 - Friday 05 Jul, 2013 VENUE: ICTS-TIFR, IISc Campus, Bangalore DETAL Numerical relativity deals with solving Einstein's field equations using supercomputers. Numerical relativity is an essential tool for the accurate modeling of a wi
From playlist Numerical Relativity
Imaginary Numbers Are Real [Part 13: Riemann Surfaces]
Want to learn more or teach this series? Check out the Imaginary Numbers are Real Workbook: http://www.welchlabs.com/resources. Supporting Code: https://github.com/stephencwelch/Imaginary-Numbers-Are-Real Imaginary numbers are not some wild invention, they are the deep and natural result
From playlist Imaginary Numbers are Real
The computational theory of Riemann–Hilbert problems (Lecture 4) by Thomas Trogdon
Program : Integrable Systems in Mathematics, Condensed Matter and Statistical Physics ORGANIZERS : Alexander Abanov, Rukmini Dey, Fabian Essler, Manas Kulkarni, Joel Moore, Vishal Vasan and Paul Wiegmann DATE & TIME : 16 July 2018 to 10 August 2018 VENUE : Ramanujan Lecture Hall, ICT
From playlist Integrable systems in Mathematics, Condensed Matter and Statistical Physics
A (compelling?) reason for the Riemann Hypothesis to be true #SOME2
A visual walkthrough of the Riemann Zeta function and a claim of a good reason for the truth of the Riemann Hypothesis. This is not a formal proof but I believe the line of argument could lead to a formal proof.
From playlist Summer of Math Exposition 2 videos