The Conference On L-functions

by Lin Weng, Masanobu Kaneko

Overview

This invaluable volume collects papers written by many of the world's top experts on L-functions. It not only covers a wide range of topics from algebraic and analytic number theories, automorphic forms, to geometry and mathematical physics, but also treats the theory as a whole.The contributions reflect the latest, most advanced and most important aspects of L-functions. In particular, it contains Hida's lecture notes at the conference and at the Eigenvariety semester in Harvard University and Weng's detailed account of his works on high rank zeta functions and non-abelian L-functions.

Product Details

ISBN-13:	9789812705044
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	01/03/2007
Pages:	380
Product dimensions:	6.20(w) x 9.00(h) x 1.00(d)

Table of Contents

Preface     v
List of Participants     vii
Quantum Maass Forms   R. Bruggeman     1
L-Invariant of p-Adic L-Functions   H. Hida     17
Siegel Modular Forms of Weight Three and Conjectural Correspondence of Shimura Type and Langlands Type   T. Ibukiyama     55
Convolutions of Fourier Coefficients of Cusp Forms and the Circle Method   M. Jutila     71
On an Extension of the Derivation Relation for Multiple Zeta Values   M. Kaneko     89
On Symmetric Powers of Cusp Forms on GL[subscript 2]   H. H. Kim     95
Zeta Functions of Root Systems   Y. Komori   K. Matsumoto   H. Tsumura     115
Sums of Kloosterman Sums Revisited   Y. Motohashi     141
The Lindelof Class of L-Functions   K. Murty     165
A Proof of the Riemann Hypothesis for the Weng Zeta Function of Rank 3 for the Rationals   M. Suzuki     175
Elliptic Curves Arising from the Spectral Zeta Function for Non-Commutative Harmonic Oscillators and [Gamma subscript 0](4)-Modular Forms   K. Kimoto   M. Wakayama     201
A Geometric Approach to L-Functions   L. Weng     219