TY  - BOOK
AU  - Friedberg,Solomon
AU  - Jacquet,Herve
TI  - Fundamental Lemma of the Shalika Subgroup of Gl(4)
T2  - Memoirs of the American Mathematical Society
SN  - 9781470401795
AV  - QA243 -- .F754 1996eb 
U1  - 512/.7 
PY  - 1996///
CY  - Providence
PB  - American Mathematical Society
KW  - Automorphic forms
KW  - Trace formulas
KW  - Representations of groups
KW  - Electronic books
N1  - Intro -- Contents -- Chapter I. Introduction and Statement of Results -- 1. Introduction -- 2. The Shalika Subgroup H of GL(4): Relevant Double Cosets and Kloosterman Integrals -- 3. The Symplectic Group GS[sub(p)](4): Relevant Double Cosets and Kloosterman Integrals -- 4. The Main Theorem -- 5. Kloosterman Integrals and Gauss Sums -- Chapter II. Evaluation of the Integral for the Main H-Relevant Double Cosets -- 1. Plan of the Computation -- 2. The Unipotent Integral -- 3. The Toroidal Integral -- 4. Two Supplementary Integrals -- 5. Evaluation of the Mellin Transform I: The Ramified Case -- 6. Evaluation of the Mellin Transform II: The Case χ[sub(1)]Ramified, χ[sub(2)] Unramified -- 7. Evaluation of the Mellin Transform III: The Case χ[sub(1)]Unramified, χ[sub(2)]Ramified -- 8. Evaluation of the Mellin Transform IV: The Unramified Case -- Chapter III. Evaluation of the Integrals for the Other if-Relevant Double Cosets -- 1. Evaluation of the Integral M[sub(F)](χ[sub(1) -- 1), I: Unipotent Integration -- 2. Evaluation of the Integral M[sub(F)](χ[sub(1) -- 1), II: Toroidal Integration and Simplification -- 3. Evaluation of the Integral M[sub(F)](χ[sub(1) -- 132), I: Unipotent Integration -- 4. Evaluation of the Integral M[sub(F)](χ[sub(1) -- 132), II: Toroidal Integration and Simplification -- Chapter IV. Evaluation of the GS[sub(p)](4) Integral for the Main Double Cosets -- 1. Computation of the Integral J(t) -- 2. Simplification of the Integrals Giving J(t) -- 3. Computation of the Mellin Transform -- 4. Evaluation of the Mellin Transform I: The Ramified Case -- 5. Evaluation of the Mellin Transform II: The Case χ[sub(1)] Ramified, χ[sub(2)] Unramified -- 6. Evaluation of the Mellin Transform III: The Case χ[sub(1)] Unramified, χ[sub(2)] Ramified -- 7. Evaluation of the Mellin Transform IV: The Unramified Case; Chapter V. Evaluation of the G5[sub(p)](4) Integrals for the Other Relevant Double Cosets -- 1. Computation of the Integral J(ω[sub(1)],t) -- 2. Evaluation of the Mellin Transform M[sub(J)](χω[sub(1)]) -- 3. Computation of the Integral J(ω[sub(2)],t) -- 4. Evaluation of the Mellin Transform M[sub(J)](χω[sub(1)]) -- References
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