On central critical values of the degree four L-functions for GSp(4)
Subtitle: the fundamental lemma
By: Masaaki Furusawa, Kimball Martin, Joseph A. Shalika
Contributors: Martin, Kimball; Shalika, Joseph A., 1941-
Series: Memoirs of the American Mathematical Society -- number 1057; Memoirs of the American Mathematical Society -- no. 1057.
Publisher: American Mathematical Society
Published: 2013
Place of publication: Providence, Rhode Island
Language: eng
Number of pages: 134
ISBN-13: 9780821887424
Subjects: Siegel domains; Modular groups; Automorphic forms; L-functions
Notes: "Volume 225, number 1057 (second of 4 numbers), September 2013."

The first volume of "On central critical values of the degree four L-functions for GSp(4)" was published as number 782 of the Memoirs of the American Mathematical Society in 2003; the second volume was published in volume 133 of the American Journal of Mathematics in 2011.

Includes bibliographical references (pages 131-132) and index.
Table of contents: title: Introduction: Notation. Orbital Integrals ; Matching; title: Reduction formulas. Macdonald Polynomials ; Explicit formulas and the Macdonald Polynomials ; Reduction formulas for the orbital integrals; title: Anisotropic Bessel Orbital Integral. Preliminaries ; Evaluation; title: Split Bessel and Novodvorsky Orbital Integrals. Preliminaries ; Evaluation ; Matching; title: Rankin-Selberg Orbital Integral. Preliminaries ; Matching in the inert case ; Matching in the split case.