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
Weil conjectures 1 Introduction
This talk is the first of a series of talks on the Weil conejctures. We recall properties of the Riemann zeta function, and describe how Artin used these to motivate the definition of the zeta function of a curve over a finite field. We then describe Weil's generalization of this to varie
From playlist Algebraic geometry: extra topics
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
Wim Veys : Zeta functions and monodromy
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Number Theory
Number Theory 1.1 : Product Formula for the Zeta Function
In this video, I prove Euler's product formula for the Riemann Zeta function. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Number Theory
Ling Long - Hypergeometric Functions, Character Sums and Applications - Lecture 8
Title: Hypergeometric Functions, Character Sums and Applications Speaker: Prof. Ling Long, Louisiana State University Abstract: Hypergeometric functions form a class of special functions satisfying a lot of symmetries. They are closely related to the arithmetic of one-parameter families of
From playlist Hypergeometric Functions, Character Sums and Applications
Zeta Functions and Cohomology Intro part 1: Standard Conjectures, and Deninger's Conjectures
Here we give a quick and standard introduction to the problems about Zeta functions of varieties over finite fields and then indicate quickly how these are related to a system of problems about the usual Riemann zeta function.
From playlist Riemann Hypothesis
Étale Cohomology and the Weil conjectures - 8/20/2020
Introduction to the course; the Weil conjectures; curves; Serre's analogue
From playlist Étale cohomology and the Weil conjectures
Alex Mueller - Dwork's proof of the rationality of the Hasse-Weil zeta function IV
Alex speaks on Dwork's computational intensive proof of the rationality of the Hasse-Weil zeta functions for smooth affine varieties, as given in Koblitz's book on p-adic analysis.
From playlist Alex Mueller giving Dwork's proof of rationality of zeta
Alexandra Florea: The Ratios Conjecture over function fields
I will talk about some recent joint work with H. Bui and J. Keating where we study the Ratios Conjecture for the family of quadratic L-functions over function fields. I will also discuss the closely related problem of obtaining upper bounds for negative moments of L-functions, which allows
From playlist Seminar Series "Arithmetic Applications of Fourier Analysis"
Ling Long - Hypergeometric Functions, Character Sums and Applications - Lecture 7
Title: Hypergeometric Functions, Character Sums and Applications Speaker: Prof. Ling Long, Louisiana State University Abstract: Hypergeometric functions form a class of special functions satisfying a lot of symmetries. They are closely related to the arithmetic of one-parameter families of
From playlist Hypergeometric Functions, Character Sums and Applications
Ling Long - Hypergeometric Functions, Character Sums and Applications - Lecture 3
Title: Hypergeometric Functions, Character Sums and Applications Speaker: Prof. Ling Long, Louisiana State University Abstract: Hypergeometric functions form a class of special functions satisfying a lot of symmetries. They are closely related to the arithmetic of one-parameter families of
From playlist Hypergeometric Functions, Character Sums and Applications
Alex Mueller - Dwork's proof of the rationality of the Hasse-Weil zeta function I
Alex speaks on Dwork's computational intensive proof of the rationality of the Hasse-Weil zeta functions for smooth affine varieties, as given in Koblitz's book on p-adic analysis.
From playlist Alex Mueller giving Dwork's proof of rationality of zeta
Ling Long - Hypergeometric Functions, Character Sums and Applications - Lecture 6
Title: Hypergeometric Functions, Character Sums and Applications Speaker: Prof. Ling Long, Louisiana State University Abstract: Hypergeometric functions form a class of special functions satisfying a lot of symmetries. They are closely related to the arithmetic of one-parameter families of
From playlist Hypergeometric Functions, Character Sums and Applications
Philipp Habegger: Equidistribution of roots of unity and the Mahler measure
CIRM VIRTUAL CONFERENCE Recorded during the meeting " Diophantine Problems, Determinism and Randomness" the November 25, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide
From playlist Virtual Conference
Alex Mueller - Dwork's proof of the rationality of the Hasse-Weil zeta function V
Alex speaks on Dwork's computational intensive proof of the rationality of the Hasse-Weil zeta functions for smooth affine varieties, as given in Koblitz's book on p-adic analysis.
From playlist Alex Mueller giving Dwork's proof of rationality of zeta
The Riemann Hypothesis - Picturing The Zeta Function
in this chapter i will show how to visualize the zeta and eta functions in the proper way meaning that everything on those two functions is made out of spirals all over the grid and the emphasis in this chapter will be on the center points of the spirals mainly the divergent spirals 0:00
From playlist Summer of Math Exposition Youtube Videos
Harold Stark - The origins of conjectures on derivatives of L-functions at s=0 [1990’s]
slides for this talk: http://www.msri.org/realvideo/ln/msri/2001/rankin-L/stark/1/banner/01.html The origins of conjectures on derivatives of L-functions at s=0 Harold Stark http://www.msri.org/realvideo/ln/msri/2001/rankin-L/stark/1/index.html
From playlist Number Theory
More Riemann Zeta function identities!!
Building upon our previous video, we present three more Riemann zeta function identities. Video 1: https://youtu.be/2W2Ghi9idxM Video 2: https://www.youtube.com/watch?v=bRdGQKwusiE http://www.michael-penn.net https://www.researchgate.net/profile/Michael_Penn5 http://www.randolphcollege.e
From playlist The Riemann Zeta Function