edited by Gautami Bhowmik, Kohji Matsumoto, & Hirofumi Tsumura

This volume contains lectures presented at the French–Japanese 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

• Analytic Continuation of Some Zeta Functions (G Bhowmik)
• Lectures on Height Zeta Functions: At the Confluence of Algebraic Geometry, Algebraic Number Theory, and Analysis (A Chambert-Loir)
• Spherical Functions on p-adic Homogeneous Spaces (Y Hironaka)
• Poly-Bernoulli Numbers and Related Zeta Functions (M Kaneko)
• Rankin–Selberg Method and Periods of Modular Forms (H Katsurada)
• An Introduction to the Theory of Zeta-Functions of Root Systems (Y Komori et al.)
• An Introduction to p-adic and Motivic Zeta Functions and the Monodromy Conjecture (J Nicaise)
• Hypergeometric Constructions of Rational Approximations for (Multiple) Zeta Values (T Rivoal)