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
Yuri Tschinkel, Height zeta functions
VaNTAGe seminar May 11, 2021 License: CC-BY-NC-SA
From playlist Manin conjectures and rational points
Johannes Nicaise: The non-archimedean SYZ fibration and Igusa zeta functions - part 3/3
Abstract : The SYZ fibration is a conjectural geometric explanation for the phenomenon of mirror symmetry for maximal degenerations of complex Calabi-Yau varieties. I will explain Kontsevich and Soibelman's construction of the SYZ fibration in the world of non-archimedean geometry, and its
From playlist Algebraic and Complex Geometry
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
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
Johannes Nicaise: The non-archimedean SYZ fibration and Igusa zeta functions - part 1/3
Abstract: The SYZ fibration is a conjectural geometric explanation for the phenomenon of mirror symmetry for maximal degenerations of complex Calabi-Yau varieties. I will explain Kontsevich and Soibelman's construction of the SYZ fibration in the world of non-archimedean geometry, and its
From playlist Algebraic and Complex Geometry
Johannes Nicaise: The non-archimedean SYZ fibration and Igusa zeta functions - part 2/3
Abstract : The SYZ fibration is a conjectural geometric explanation for the phenomenon of mirror symmetry for maximal degenerations of complex Calabi-Yau varieties. I will explain Kontsevich and Soibelman's construction of the SYZ fibration in the world of non-archimedean geometry, and its
From playlist Algebraic and Complex Geometry
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
another Riemann-Zeta function identity.
We present an interesting identity involving the even values of the Riemann-Zeta function. Some more Riemann-zeta function identities: https://youtu.be/2W2Ghi9idxM https://youtu.be/bRdGQKwusiE https://youtu.be/JwxgwXUruRM Please Subscribe: https://www.youtube.com/michaelpennmath?sub_con
From playlist The Riemann Zeta Function
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
"Numerical evidence for the Bruinier-Yang conjecture" Kristin Lauter, Microsoft Research [2011]
Kristin Lauter, Microsoft Research Wednesday Nov 9, 2011 11:00 - 11:40 Numerical evidence for the Bruinier-Yang conjecture and comparison with denominators of Igusa class polynomials Women in Numbers Conference Video taken from: http://www.birs.ca/events/2011/5-day-workshops/11w5075/vide
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
For the latest information, please visit: http://www.wolfram.com Speaker: Paul Abbott When the eigenvalues of an operator A can be computed and form a discrete set, the spectral zeta function of A reduces to a sum over eigenvalues, when the sum exists. Belloni and Robinett used the “quan
From playlist Wolfram Technology Conference 2014
Bertrand Eynard: Integrable systems and spectral curves
Usually one defines a Tau function Tau(t_1,t_2,...) as a function of a family of times having to obey some equations, like Miwa-Jimbo equations, or Hirota equations. Here we shall view times as local coordinates in the moduli-space of spectral curves, and define the Tau-function of a spect
From playlist Analysis and its Applications
Dirichlet Eta Function - Integral Representation
Today, we use an integral to derive one of the integral representations for the Dirichlet eta function. This representation is very similar to the Riemann zeta function, which explains why their respective infinite series definition is quite similar (with the eta function being an alte rna
From playlist Integrals
Overconvergent Igusa Tower and Overconvergent Modular Forms - Jacques Tilouine
Jacques Tilouine University de Paris 13 and Institut Universitaire de France April 7, 2011 GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS SEMINAR Note: (joint work with O. Brinon and A. Mokrane) For more videos, visit http://video.ias.edu
From playlist Mathematics
A New Approach to the Local Langlands Correspondence for GLnGLn Over p-Adic Fields - Peter Scholze
A New Approach to the Local Langlands Correspondence for GLnGLn Over p-Adic Fields - Peter Scholze University of Bonn November 17, 2010 We give a new local characterization of the Local Langlands Correspondence, using deformation spaces of p-divisible groups, and show its existence by a c
From playlist Mathematics
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
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