LEADER 04170nam 2200613 450 001 9910812407003321 005 20170822102510.0 010 $a1-4704-0179-7 035 $a(CKB)3360000000464778 035 $a(EBL)3113802 035 $a(SSID)ssj0000888943 035 $a(PQKBManifestationID)11453157 035 $a(PQKBTitleCode)TC0000888943 035 $a(PQKBWorkID)10867697 035 $a(PQKB)11652887 035 $a(MiAaPQ)EBC3113802 035 $a(RPAM)1635791 035 $a(PPN)195414764 035 $a(EXLCZ)993360000000464778 100 $a20140903h19961996 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe fundamental lemma of the Shalika subgroup of GL(4) /$fSolomon Friedberg, Herve? Jacquet 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1996. 210 4$dİ1996 215 $a1 online resource (167 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 124, Number 594 300 $a"November 1996, Volume 124, Number 594 (end of volume)." 311 $a0-8218-0540-1 320 $aIncludes bibliographical references. 327 $a""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"" 327 $a""5. Evaluation of the Mellin Transform I: The Ramified Case""""6. Evaluation of the Mellin Transform II: The Case I??[sub(1)]Ramified, I??[sub(2)] Unramified""; ""7. Evaluation of the Mellin Transform III: The Case I??[sub(1)]Unramified, I??[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)](I??[sub(1); 1), I: Unipotent Integration""; ""2. Evaluation of the Integral M[sub(F)](I??[sub(1); 1), II: Toroidal Integration and Simplification"" 327 $a""3. Evaluation of the Integral M[sub(F)](I??[sub(1)132), I: Unipotent Integration""; ""4. Evaluation of the Integral M[sub(F)](I??[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 I??[sub(1)] Ramified, I??[sub(2)] Unramified"" 327 $a""6. Evaluation of the Mellin Transform III: The Case I??[sub(1)] Unramified, I??[sub(2)] Ramified""""7. Evaluation of the Mellin Transform IV: The Unramified Case""; ""Chapter V. Evaluation of the G5[sub(p)](4) Integrals for the Other Relevant Double Cosets""; ""1. Computation of the Integral J(I??[sub(1)],t)""; ""2. Evaluation of the Mellin Transform M[sub(J)](I??I??[sub(1)])""; ""3. Computation of the Integral J(I??[sub(2)],t)""; ""4. Evaluation of the Mellin Transform M[sub(J)](I??I??[sub(1)])""; ""References"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 124, Number 594. 606 $aAutomorphic forms 606 $aTrace formulas 606 $aRepresentations of groups 615 0$aAutomorphic forms. 615 0$aTrace formulas. 615 0$aRepresentations of groups. 676 $a512/.7 700 $aFriedberg$b Solomon$f1958-$01614301 702 $aJacquet$b Herve?$f1939- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910812407003321 996 $aThe fundamental lemma of the Shalika subgroup of GL(4)$94082143 997 $aUNINA