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On central critical values of the degree four L-functions for GSp(4) : the fundamental lemma. Masaaki Furusawa, Kimball Martin, Joseph A. Shalika.

By: Contributor(s): Material type: TextTextSeries: Publication details: Providence, Rhode Island : American Mathematical Society, ©2013.Description: x, 134 p. : illISBN:
  • 0821887424
  • 9780821887424
Subject(s): DDC classification:
  • 510 Am512
Contents:
Introduction: Notation. Orbital Integrals ; Matching -- Reduction formulas. Macdonald Polynomials ; Explicit formulas and the Macdonald Polynomials ; Reduction formulas for the orbital integrals -- Anisotropic Bessel Orbital Integral. Preliminaries ; Evaluation -- Split Bessel and Novodvorsky Orbital Integrals. Preliminaries ; Evaluation ; Matching -- Rankin-Selberg Orbital Integral. Preliminaries ; Matching in the inert case ; Matching in the split case.
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"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 (p. 131-132) and index.

Introduction: Notation. Orbital Integrals ; Matching -- Reduction formulas. Macdonald Polynomials ; Explicit formulas and the Macdonald Polynomials ; Reduction formulas for the orbital integrals -- Anisotropic Bessel Orbital Integral. Preliminaries ; Evaluation -- Split Bessel and Novodvorsky Orbital Integrals. Preliminaries ; Evaluation ; Matching -- Rankin-Selberg Orbital Integral. Preliminaries ; Matching in the inert case ; Matching in the split case.

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