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9789812705044

The Conference on L-functions: Fukuoka, Japan, 18-23 February 2006

by ;
  • ISBN13:

    9789812705044

  • ISBN10:

    981270504X

  • Format: Hardcover
  • Copyright: 2006-12-28
  • Publisher: World Scientific Pub Co Inc
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Supplemental Materials

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Summary

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 nonabelian L-functions.

Table of Contents

Prefacep. v
List of Participantsp. vii
Quantum Maass Formsp. 1
L-Invariant of p-Adic L-Functionsp. 17
Siegel Modular Forms of Weight Three and Conjectural Correspondence of Shimura Type and Langlands Typep. 55
Convolutions of Fourier Coefficients of Cusp Forms and the Circle Methodp. 71
On an Extension of the Derivation Relation for Multiple Zeta Valuesp. 89
On Symmetric Powers of Cusp Forms on GL[subscript 2]p. 95
Zeta Functions of Root Systemsp. 115
Sums of Kloosterman Sums Revisitedp. 141
The Lindelof Class of L-Functionsp. 165
A Proof of the Riemann Hypothesis for the Weng Zeta Function of Rank 3 for the Rationalsp. 175
Elliptic Curves Arising from the Spectral Zeta Function for Non-Commutative Harmonic Oscillators and [Gamma subscript 0](4)-Modular Formsp. 201
A Geometric Approach to L-Functionsp. 219
Table of Contents provided by Ingram. All Rights Reserved.

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