Holdings: Non-Archimedean L-functions and arithmetical Siegel modular forms

Non-Archimedean L-functions and arithmetical Siegel modular forms:

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Main Authors:	Courtieu, Michel (Author), Pančiškin, Aleksej A. 1953- (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer 2004
Edition:	2., augm. ed.
Series:	Lecture notes in mathematics 1471
Subjects:	L-Funktion Siegel-Modulform Algebraic number theory Automorphic forms Discontinuous groups L-functions Modular groups Siegel domains
Online Access:	Inhaltsverzeichnis
Item Description:	Literaturverz. S. 187 - 193
Physical Description:	VIII, 196 S.
ISBN:	3540407294

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MARC


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300			\|a VIII, 196 S.
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500			\|a Literaturverz. S. 187 - 193
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650		4	\|a Algebraic number theory
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adam_text	CONTENTS 1 NON-ARCHIMEDEAN ANALYTIC FUNCTIONS . 13 1.1 P-ADIC NUMBERS AND THE TAETE SEID . 13 1.2 CONTINUOUS AND ANALYTIC FUNCTIONS . 17 1.3 DISTRIBUTIONS, MEASURES, AND THE ABSTRACT KUMMER CONGRUENCES 21 1.4 IWASAWA ALGEBRA AND THE NON-ARCHIMEDEAN MELLIN TRANSFORM . 28 1.5 ADMISSIBLE MEASURES AND THEIR MELLIN TRANSFORM . 35 1.6 COMPLEX VALUED DISTRIBUTIONS, ASSOCIATED WITH EULER PRODUCTS . 38 2 SIEGEL MODULAR FORMS AND THE HOLOMORPHIC PROJECTION OPERATOR . 45 2.1 SIEGEL MODULAR FORMS AND HECKE OPERATORS . 46 2.2 THETA SERIES, SIEGEL-EISENSTEIN SERIES AND THE RANKIN ZETA FUNCTION . 62 2.3 FORMULAS FOR FOURIER COEFFICIENTS OF THE SIEGEL-EISENSTEIN SERIES . 70 2.4 HOLOMORPHIC PROJECTION AND MAASS OPERATOR . 83 2.5 EXPLICIT DESCRIPTION OF DIFFERENTIAL OPERATORS . 91 3 ARITHMETICAL DIFFERENTIAL OPERATORS . 95 3.1 DESCRIPTION OF THE SHIMURA DIFFERENTIAL OPERATORS . 95 3.2 NEARLY HOLOMORPHIC SIEGEL MODULAR FORMS . 99 3.3 ALGEBRAIC DIFFERENTIAL OPERATORS OF MAASS AND SHIMURA . 106 3.4 ARITHMETICAL VARIABLES OF NEARLY HOLOMORPHIC FORMS . 117 4 ADMISSIBLE MEASURES FOR STANDARD LFUNCTIONS . 127 4.1 CONGRUENCES BETWEEN MODULAR FORMS AND P-ADIC INTEGRATION . 127 4.2 ALGEBRAIC DIFFERENTIAL OPERATORS AND SIEGEL-EISENSTEIN DISTRIBUTIONS . 133 4.3 A GENERAL RESULT ON ADMISSIBLE MEASURES . 144 4.4 THE STANDARD L-FUNCTION . 148 4.5 ALGEBRAIC LINEAR FORMS ON MODULAR FORMS . 165 4.6 CONGRUENCES AND PROOF OF THE MAIN THEOREM . 174 VIII CONTENTS REFERENCES . 187 INDEX . 195
any_adam_object	1
author	Courtieu, Michel Pančiškin, Aleksej A. 1953-
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author_facet	Courtieu, Michel Pančiškin, Aleksej A. 1953-
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ctrlnum	(OCoLC)53462063 (DE-599)BVBBV017589354
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dewey-ones	512 - Algebra 510 - Mathematics
dewey-raw	512.7/3 510
dewey-search	512.7/3 510
dewey-sort	3512.7 13
dewey-tens	510 - Mathematics
discipline	Mathematik
edition	2., augm. ed.
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id	DE-604.BV017589354
illustrated	Not Illustrated
indexdate	2024-08-22T00:16:03Z
institution	BVB
isbn	3540407294
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-010582316
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physical	VIII, 196 S.
publishDate	2004
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publisher	Springer
record_format	marc
series	Lecture notes in mathematics
series2	Lecture notes in mathematics
spelling	Courtieu, Michel Verfasser aut Non-Archimedean L-functions and arithmetical Siegel modular forms Michel Courtieu ; Alexei Panchishkin 2., augm. ed. Berlin [u.a.] Springer 2004 VIII, 196 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1471 Literaturverz. S. 187 - 193 L-Funktion swd Siegel-Modulform swd Algebraic number theory Automorphic forms Discontinuous groups L-functions Modular groups Siegel domains Siegel-Modulform (DE-588)4129460-9 gnd rswk-swf L-Funktion (DE-588)4137026-0 gnd rswk-swf L-Funktion (DE-588)4137026-0 s Siegel-Modulform (DE-588)4129460-9 s DE-604 Pančiškin, Aleksej A. 1953- Verfasser (DE-588)128761407 aut Lecture notes in mathematics 1471 (DE-604)BV000676446 1471 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010582316&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Courtieu, Michel Pančiškin, Aleksej A. 1953- Non-Archimedean L-functions and arithmetical Siegel modular forms Lecture notes in mathematics L-Funktion swd Siegel-Modulform swd Algebraic number theory Automorphic forms Discontinuous groups L-functions Modular groups Siegel domains Siegel-Modulform (DE-588)4129460-9 gnd L-Funktion (DE-588)4137026-0 gnd
subject_GND	(DE-588)4129460-9 (DE-588)4137026-0
title	Non-Archimedean L-functions and arithmetical Siegel modular forms
title_auth	Non-Archimedean L-functions and arithmetical Siegel modular forms
title_exact_search	Non-Archimedean L-functions and arithmetical Siegel modular forms
title_full	Non-Archimedean L-functions and arithmetical Siegel modular forms Michel Courtieu ; Alexei Panchishkin
title_fullStr	Non-Archimedean L-functions and arithmetical Siegel modular forms Michel Courtieu ; Alexei Panchishkin
title_full_unstemmed	Non-Archimedean L-functions and arithmetical Siegel modular forms Michel Courtieu ; Alexei Panchishkin
title_short	Non-Archimedean L-functions and arithmetical Siegel modular forms
title_sort	non archimedean l functions and arithmetical siegel modular forms
topic	L-Funktion swd Siegel-Modulform swd Algebraic number theory Automorphic forms Discontinuous groups L-functions Modular groups Siegel domains Siegel-Modulform (DE-588)4129460-9 gnd L-Funktion (DE-588)4137026-0 gnd
topic_facet	L-Funktion Siegel-Modulform Algebraic number theory Automorphic forms Discontinuous groups L-functions Modular groups Siegel domains
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010582316&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000676446
work_keys_str_mv	AT courtieumichel nonarchimedeanlfunctionsandarithmeticalsiegelmodularforms AT panciskinalekseja nonarchimedeanlfunctionsandarithmeticalsiegelmodularforms

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