Airy zeta function
In mathematics, the Airy zeta function, studied by , is a function analogous to the Riemann zeta function and related to the zeros of the Airy function. (Wikipedia).
In mathematics, the Airy zeta function, studied by , is a function analogous to the Riemann zeta function and related to the zeros of the Airy function. (Wikipedia).
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
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
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
ZETA IN DISGUISE- An Awesome Floor Function Integral!
Help me create more free content! =) https://www.patreon.com/mathable Merch :v - https://teespring.com/de/stores/papaflammy https://shop.spreadshirt.de/papaflammy 2nd Channel: https://www.youtube.com/channel/UCPctvztDTC3qYa2amc8eTrg Floor Function Series: https://youtu
From playlist Integrals
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
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
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
2020.05.21 Jason Schweinsberg - A Gaussian particle distribution for branching Brownian motion [...]
A Gaussian particle distribution for branching Brownian motion with an inhomogeneous branching rate Motivated by the goal of understanding the evolution of populations undergoing selection, we consider branching Brownian motion in which particles independently move according to one-dime
From playlist One World Probability Seminar
Semiclassical origins of density functional approximations
Kieron Burke, University of California, Irvine, USA
From playlist Distinguished Visitors Lecture Series
Masha Vlasenko: Gamma functions, monodromy and Apéry constants
Abstract: In 1978 Roger Apéry proved irrationality of zeta(3) approximating it by ratios of terms of two sequences of rational numbers both satisfying the same recurrence relation. His study of the growth of denominators in these sequences involved complicated explicit formulas for both vi
From playlist Algebraic and Complex Geometry
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
Elba Garcia-Failde - Quantisation of Spectral Curves of Arbitrary Rank and Genus via (...)
The topological recursion is a ubiquitous procedure that associates to some initial data called spectral curve, consisting of a Riemann surface and some extra data, a doubly indexed family of differentials on the curve, which often encode some enumerative geometric information, such as vol
From playlist Workshop on Quantum Geometry
Coprime Probabilities, and the Riemann zeta function
The principal of inclusion-exclusion is proven, before establishing that the greatest common divisor or two randomly chosen positive integers is 6 over pi squared. My Twitter: https://twitter.com/KristapsBalodi3 Intro:(0:00) The principal of inclusion-exclusion:(1:29) A related lemma:(13
From playlist Miscellaneous Questions
The Generalized Ramanujan Conjectures and Applications (Lecture 4) by Peter Sarnak
Lecture 4 : "Nodal lines of Maass Forms and Critical Percolation" Abstract : We describe some results concerning the number of connected components of nodal lines of high frequency Maass forms on the modular surface. Based on heuristics connecting these to an exactly solvable critical per
From playlist Generalized Ramanujan Conjectures Applications by Peter Sarnak
The subconvexity problem for L-functions – Ritabrata Munshi – ICM2018
Number Theory Invited Lecture 3.7 The subconvexity problem for L-functions Ritabrata Munshi Abstract: Estimating the size of automorphic L-functions on the critical line is a central problem in analytic number theory. An easy consequence of the standard analytic properties of the L-funct
From playlist Number Theory
Nodal Lines of Maass Forms and Critical Percolation - Peter Sarnak
Peter Sarnak Institute for Advanced Study March 20, 2012 We describe some results concerning the number of connected components of nodal lines of high frequency Maass forms on the modular surface. Based on heuristics connecting these to a critical percolation model, Bogomolny and Schmit ha
From playlist Mathematics
Etale Theta - Part 02 - Properties of the Arithmetic Jacobi Theta Function
In this video we talk about Proposition 1.4 of Etale Theta. This came out of conversations with Emmanuel Lepage. Formal schemes in the Stacks Project: http://stacks.math.columbia.edu/tag/0AIL
From playlist Etale Theta
Remembrances/Tributes to Atle Selberg 1/3 [2008]
http://www.ams.org/notices/200906/rtx090600692p-corrected.pdf Saturday, January 12 2:40 PM Remembrances/Tributes Kai-Man Tsang Dorian Goldfeld Brian Conrey Atle Selberg Memorial Memorial Program in Honor of His Life & Work January 11-12, 2008 Renowned Norwegian mathematician Atle Sel
From playlist Number Theory
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