Friedberg, Solomon. <br/><br/>
Fundamental Lemma of the Shalika Subgroup of Gl(4). 

 - 1st ed. 
 - 1 online resource (167 pages) 
 - Memoirs of the American Mathematical Society ;  v.124 .
 - Memoirs of the American Mathematical Society .
<br/><br/>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. 
<br/><br/><label>ISBN: </label>9781470401795 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Automorphic forms.<br/>Trace formulas.<br/>Representations of groups.
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.
<br/><br/><label>LC Class. No.: </label>QA243 -- .F754 1996eb 
<br/><br/><label>Dewey Class. No.: </label>512/.7