000			04071nam a22004933i 4500
001			EBC3113802
003			MiAaPQ
005			20240729124551.0
006			m o d |
007			cr cnu||||||||
008			240724s1996 xx o ||||0 eng d
020			_a9781470401795 _q(electronic bk.)
020			_z9780821805404
035			_a(MiAaPQ)EBC3113802
035			_a(Au-PeEL)EBL3113802
035			_a(CaPaEBR)ebr10918755
035			_a(OCoLC)851086192
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA243 -- .F754 1996eb
082	0		_a512/.7
100	1		_aFriedberg, Solomon.
245	1	0	_aFundamental Lemma of the Shalika Subgroup of Gl(4).
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1996.
264		4	_c©1996.
300			_a1 online resource (167 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.124
505	0		_aIntro -- 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.
505	8		_aChapter 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.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aAutomorphic forms.
650		0	_aTrace formulas.
650		0	_aRepresentations of groups.
655		4	_aElectronic books.
700	1		_aJacquet, Herve.
776	0	8	_iPrint version: _aFriedberg, Solomon _tFundamental Lemma of the Shalika Subgroup of Gl(4) _dProvidence : American Mathematical Society,c1996 _z9780821805404
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113802 _zClick to View
999			_c69333 _d69333