Non-Archimedean L-functions and arithmetical Siegel modular forms:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2004
|
| Ausgabe: | 2., augm. ed. |
| Schriftenreihe: | Lecture notes in mathematics
1471 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 187 - 193 |
| Beschreibung: | VIII, 196 S. |
| ISBN: | 3540407294 |
Internformat
MARC
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| 245 | 1 | 0 | |a Non-Archimedean L-functions and arithmetical Siegel modular forms |c Michel Courtieu ; Alexei Panchishkin |
| 250 | |a 2., augm. ed. | ||
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2004 | |
| 300 | |a VIII, 196 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1471 | |
| 500 | |a Literaturverz. S. 187 - 193 | ||
| 650 | 7 | |a L-Funktion |2 swd | |
| 650 | 7 | |a Siegel-Modulform |2 swd | |
| 650 | 4 | |a Algebraic number theory | |
| 650 | 4 | |a Automorphic forms | |
| 650 | 4 | |a Discontinuous groups | |
| 650 | 4 | |a L-functions | |
| 650 | 4 | |a Modular groups | |
| 650 | 4 | |a Siegel domains | |
| 650 | 0 | 7 | |a Siegel-Modulform |0 (DE-588)4129460-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a L-Funktion |0 (DE-588)4137026-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a L-Funktion |0 (DE-588)4137026-0 |D s |
| 689 | 0 | 1 | |a Siegel-Modulform |0 (DE-588)4129460-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Pančiškin, Aleksej A. |d 1953- |e Verfasser |0 (DE-588)128761407 |4 aut | |
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Datensatz im Suchindex
| _version_ | 1808044669830955008 |
|---|---|
| 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- |
| author_GND | (DE-588)128761407 |
| author_facet | Courtieu, Michel Pančiškin, Aleksej A. 1953- |
| author_role | aut aut |
| author_sort | Courtieu, Michel |
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| building | Verbundindex |
| bvnumber | BV017589354 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 850 |
| ctrlnum | (OCoLC)53462063 (DE-599)BVBBV017589354 |
| dewey-full | 512.7/3 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| 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. |
| format | Book |
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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 |
| oclc_num | 53462063 |
| open_access_boolean | |
| owner | DE-20 DE-355 DE-BY-UBR DE-384 DE-706 DE-11 DE-29T |
| owner_facet | DE-20 DE-355 DE-BY-UBR DE-384 DE-706 DE-11 DE-29T |
| physical | VIII, 196 S. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| 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 |
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