Algebraic and Analytic Aspects of Zeta Functions and L-Functions : Lectures at the French-japanese Winter School

by Bhowmik, Gautami; Matsumoto, Kohji; Tsumura, Hirofumi

• ISBN13: 9784931469563
• ISBN10: 4931469566
• Format: Paperback
• Copyright: 2010-02-01
• Publisher: World Scientific Pub Co Inc

Summary

This volume contains lectures presented at the FrenchJapanese Winter School on Zeta and L-functions, held at Muira, Japan, 2008. The main aim of the School was to study various aspects of zeta and L-functions with special emphasis on recent developments. A series of detailed lectures were given by experts in topics that include height zeta-functions, spherical functions and Igusa zeta-functions, multiple zeta values and multiple zeta-functions, classes of Euler products of zeta-functions, and L-functions associated with modular forms. This volume should be helpful to future generations in their study of the fascinating theory of zeta and L-functions. Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets

Table of Contents

Preface
Analytic continuation of some zeta functions	p. 1
Lectures on height zeta functions: At the confluence of algebraic geometry, algebraic number theory, and analysis	p. 17
Spherical functions on p-adic homogeneous spaces	p. 50
Poly-Bernoulli numbers and related zeta functions	p. 73
Rankin-Selberg method and periods of modular forms	p. 86
An introduction to the theory of zeta-functions of root systems	p. 115
An introduction to p-adic and motivic zeta functions and the monodromy conjecture	p. 141
Hypergeometric constructions of rational approximations for (multiple) zeta values	p. 167
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