Diophantine geometry | Geometry of divisors

Height zeta function

In mathematics, the height zeta function of an algebraic variety or more generally a subset of a variety encodes the distribution of points of given height. (Wikipedia).

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Motivic height zeta functions and motivic (...) - A. Chambert-Loir - Workshop 2 - CEB T1 2018

Antoine Chambert-Loir (Paris Diderot) / 06.03.2018 Motivic height zeta functions and motivic Euler products. Analogously to the height zeta function linked to Manin’s problem of counting rational points of bounded height on varieties, we consider the motivic height zeta function that enu

From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields

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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

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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

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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

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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

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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

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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

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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

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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

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"How to Verify the Riemann Hypothesis for the First 1,000 Zeta Zeros" by Ghaith Hiary

An overview of algorithms and methods that mathematicians in the 19th century and the first half of the 20th century used to verify the Riemann hypothesis. The resulting numerical computations, which used hand calculations and mechanical calculators, include those by Gram, Lindelöf, Backlu

From playlist Number Theory Research Unit at CAMS - AUB

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Yuri Tschinkel, Height zeta functions

VaNTAGe seminar May 11, 2021 License: CC-BY-NC-SA

From playlist Manin conjectures and rational points

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Freezing and extreme values: from RMT to number theory - Jon Keating

Jon Keating University of Bristol November 8, 2013 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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Introduction to Minimal surfaces by Rukmini Dey

SUMMER SCHOOL FOR WOMEN IN MATHEMATICS AND STATISTICS POPULAR TALKS (TITLE AND ABSTRACT) June 22, Wednesday, 15:45 - 16:45 hrs Rukmini Dey (ICTS, India) Title: Introduction to Minimal surfaces Abstract: In this talk I will introduce zero mean curvature surfaces, called minimal surface

From playlist Summer School for Women in Mathematics and Statistics - 2022

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LMS Popular Lecture Series 2009, Random Matrices and Riemann Zeros, Dr Nina Snaith

Hollywood's Hippest Mathematics: random matrices and Riemann zeros Dr Nina Snaith

From playlist LMS Popular Lectures 2007 - present

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Michael Hoffman: Multiple zeta values and alternating MZVs arising from a combinatorial problem

The lecture was held within the framework of the Hausdorff Trimester Program: Periods in Number Theory, Algebraic Geometry and Physics. Abstract: Guy Louchard posed the problem of obtaining the general term of an asymptotic expansion of a certain definite integral. This led several peop

From playlist Workshop: "Periods and Regulators"

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Calculus 2, The Integral Test (Mar 31, 2021)

This is a recording of a live class for Math 1172, Calculus 2, an undergraduate course for math majors at Fairfield University, Spring 2021. Class website: http://cstaecker.fairfield.edu/~cstaecker/courses/2021s1172/

From playlist Math 1172 (Calculus 2) Spring 2021

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Determine the Domain of Various Functions

This video explains how to determine the domain of various functions including linear, quadratic, square root, cube root, cubic, absolute value, and rational functions. http://mathispower4u.com

From playlist The Properties of Functions

Related pages

Wiener–Ikehara theorem | Height function | Nevanlinna invariant | Algebraic variety