Mark Pollicott - Dynamical Zeta functions (Part 2)
Dynamical Zeta functions (Part 1) Licence: CC BY NC-ND 4.0
From playlist École d’été 2013 - Théorie des nombres et dynamique
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
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
Monotonicity of the Riemann zeta function and related functions - P Zvengrowski [2012]
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences May 17, 2012 14:00, St. Petersburg, POMI, room 311 (27 Fontanka) Monotonicity of the Riemann zeta function and related functions P. Zvengrowski University o
From playlist Number Theory
Jon Keating: Random matrices, integrability, and number theory - Lecture 4
Abstract: I will give an overview of connections between Random Matrix Theory and Number Theory, in particular connections with the theory of the Riemann zeta-function and zeta functions defined in function fields. I will then discuss recent developments in which integrability plays an imp
From playlist Analysis and its Applications
Jon Keating: Random matrices, integrability, and number theory - Lecture 3
Abstract: I will give an overview of connections between Random Matrix Theory and Number Theory, in particular connections with the theory of the Riemann zeta-function and zeta functions defined in function fields. I will then discuss recent developments in which integrability plays an imp
From playlist Analysis and its Applications
Higgs–Coulomb Correspondence and Wall-Crossing in Abelian GLSMs by Chiu-Chu Melissa Liu
PROGRAM: VORTEX MODULI ORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India) DATE & TIME: 06 February 2023 to 17 February 2023 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru For a long time, the vortex equations and their associated self-dual fie
From playlist Vortex Moduli - 2023
Atle Selberg Memorial - Part IV
Memorial Program in Honor of His Life & Work January 11-12, 2008 Renowned Norwegian mathematician Atle Selberg, Professor Emeritus in the School of Mathematics at the Institute for Advanced Study, died in 2007 at the age of 90. Throughout a career spanning more than six decades, Professo
From playlist Mathematics
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
The Lambert W Function Introduction
This function comes up as a solution to equations ranging from pure math to quantum physics to biology. In this video, I introduce the concepts behind the function and give some sample calculations. There's lots more to this function, so explore it on your own if you're interested.
From playlist Math
In this video I calculate a neat integral relating the gamma and zeta functions, enjoy!
From playlist Integrals
Transcendental Functions 17 The Indefinite Integral of 1 over u du Example 2.mov
More example problems involving the integral of 1 over u, du.
From playlist Transcendental Functions
[BOURBAKI 2019] The Riemann zeta function in short intervals - Harper - 30/03/19
Adam HARPER The Riemann zeta function in short intervals A classical idea for studying the behaviour of complicated functions, like the Riemann zeta function ζ(s), is to investigate averages of them. For example, the integrals over T ≤ t ≤ 2T of various powers of ζ(1/2 + it), sometimes m
From playlist BOURBAKI - 2019
Chem 131A. Lec 19. Quantum Principles: The Hydride Ion (Try #3!) The Orbital Philosophy
UCI Chem 131A Quantum Principles (Winter 2014) Lec 19. Quantum Principles -- The Hydride Ion (Try #3!) The Orbital Philosophy -- View the complete course: http://ocw.uci.edu/courses/chem_131a_quantum_principles.html Instructor: A.J. Shaka, Ph.D License: Creative Commons BY-NC-SA Terms of
From playlist Chem 131A: Week 8
Wikipedia is WRONG! - Wacky Calc Wednesday
Here's some of that good-good: A lovely finite representation of the Riemann Zeta Function, i.e. no improper integrals or infinite sums or products. And believe it or not, the utterly flawless and all-knowing Wikipedia actually gets this wrong. Unheard of! Riemann Zeta Function: https:
From playlist Wacky Calc Wednesdays
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
The distribution of values of zeta and L-functions
50 Years of Number Theory and Random Matrix Theory Conference Topic: The distribution of values of zeta and L-functions Speaker: Kannan Soundararajan Affiliation: Stanford University Date: June 21, 2022 I will survey recent progress on understanding the value distribution of zeta and L-f
From playlist Mathematics
From playlist Probability Distributions