TY - BOOK AU - Furusawa,Masaaki AU - Martin,Kimball AU - Shalika,Joseph A. TI - On Central Critical Values of the Degree Four L-Functions for GSp(4): The Fundamental Lemma. III T2 - Memoirs of the American Mathematical Society SN - 9781470410575 AV - QA300 -- .F87 2013eb U1 - 512.74 PY - 2013/// CY - Providence PB - American Mathematical Society KW - Siegel domains KW - Modular groups KW - Automorphic forms KW - L-functions KW - Electronic books N1 - Intro -- Contents -- Preface -- Chapter 1. Introduction -- Notation -- 1.1. Orbital Integrals -- 1.2. Matching -- Chapter 2. Reduction Formulas -- 2.1. Macdonald Polynomials -- 2.2. Explicit Formulas and the Macdonald Polynomials -- 2.3. Reduction Formulas for the Orbital Integrals -- Chapter 3. Anisotropic Bessel Orbital Integral -- 3.1. Preliminaries -- 3.2. Evaluation -- Chapter 4. Split Bessel and Novodvorsky Orbital Integrals -- 4.1. Preliminaries -- 4.2. Evaluation -- 4.3. Matching -- Chapter 5. Rankin-Selberg Orbital Integral -- 5.1. Preliminaries -- 5.2. Matching in the Inert Case -- 5.3. Matching in the Split Case -- Bibliography -- Index UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114123 ER -