Singular modular forms and theta relations:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1991
|
| Schriftenreihe: | Lecture notes in mathematics
1487 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002804564&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | 172 S. |
| ISBN: | 3540547045 0387547045 |
Internformat
MARC
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| 245 | 1 | 0 | |a Singular modular forms and theta relations |c Eberhard Freitag |
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Datensatz im Suchindex
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|---|---|
| DE-BY-TUM_katkey | 532251 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040020543539 |
| _version_ | 1821939258804404224 |
| adam_text | Table of contents
Introduction 1
Chapter I. Siegel modular forms Introduction
1 The symplectic group 8
2 The Siegel upper half space 11
3 Multiplier systems 13
4 Siegel modular forms 16
5 The theta multiplier system 21
6 The Siegel ^ operator 29
Appendix to sec.6: Highest weights 33
Chapter II. Theta series with polynomial coefficients 38
1 Coefficient functions and the Gauss transformation 38
2 The general inversion formula 41
3 The action of the theta group on coefficient functions 44
4 The Eichler imbedding 48
5 Theta series with respect to positive definite quadratic forms 51
6 Theta series with harmonic forms as coefficients 57
Appendix to sec.6: The theory of harmonic forms 62
7 Some multiplier systems 66
Chapter III. Singular weights 70
1 Jacobi forms 70
2 Jacobi forms and theta series 75
3 Differential operators 83
4 The classification of singular weights 85
Chapter IV. Singular modular forms and theta series 89
1 The big singular space 89
2 Theta series contained in M 94
VI
3 Fourier Jacobi expansion 99
4 The hidden relations 106
5 A combinatorical problem 108
Chapter V. The fundamental lemma 111
1 Formulation of the lemma 111
2 Reduction to the case of a local ring R 116
3 The case, where the sum of isotropic vectors is isotropic 118
4 The case r = 2 122
5 An exceptional isotropic structure
The case of a ground field 135
6 An exceptional isotropic structure
The case of a ground ring 141
7 The case n 2r in general 149
Chapter VI. The results 153
1 The representation theorem and theta relations 153
2 An example 159
References 170
|
| any_adam_object | 1 |
| author | Freitag, Eberhard 1942- |
| author_GND | (DE-588)142950017 |
| author_facet | Freitag, Eberhard 1942- |
| author_role | aut |
| author_sort | Freitag, Eberhard 1942- |
| author_variant | e f ef |
| building | Verbundindex |
| bvnumber | BV004558387 |
| classification_rvk | SI 850 |
| classification_tum | MAT 103f |
| ctrlnum | (OCoLC)243707994 (DE-599)BVBBV004558387 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV004558387 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T08:19:32Z |
| institution | BVB |
| isbn | 3540547045 0387547045 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002804564 |
| oclc_num | 243707994 |
| open_access_boolean | |
| owner | DE-384 DE-91G DE-BY-TUM DE-12 DE-355 DE-BY-UBR DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-634 DE-83 DE-11 DE-188 |
| owner_facet | DE-384 DE-91G DE-BY-TUM DE-12 DE-355 DE-BY-UBR DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-634 DE-83 DE-11 DE-188 |
| physical | 172 S. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spellingShingle | Freitag, Eberhard 1942- Singular modular forms and theta relations Lecture notes in mathematics Modulform (DE-588)4128299-1 gnd Siegel-Modulform (DE-588)4129460-9 gnd Automorphe Form (DE-588)4003972-9 gnd Singularität Mathematik (DE-588)4077459-4 gnd Theta-Reihe (DE-588)4206702-9 gnd |
| subject_GND | (DE-588)4128299-1 (DE-588)4129460-9 (DE-588)4003972-9 (DE-588)4077459-4 (DE-588)4206702-9 |
| title | Singular modular forms and theta relations |
| title_auth | Singular modular forms and theta relations |
| title_exact_search | Singular modular forms and theta relations |
| title_full | Singular modular forms and theta relations Eberhard Freitag |
| title_fullStr | Singular modular forms and theta relations Eberhard Freitag |
| title_full_unstemmed | Singular modular forms and theta relations Eberhard Freitag |
| title_short | Singular modular forms and theta relations |
| title_sort | singular modular forms and theta relations |
| topic | Modulform (DE-588)4128299-1 gnd Siegel-Modulform (DE-588)4129460-9 gnd Automorphe Form (DE-588)4003972-9 gnd Singularität Mathematik (DE-588)4077459-4 gnd Theta-Reihe (DE-588)4206702-9 gnd |
| topic_facet | Modulform Siegel-Modulform Automorphe Form Singularität Mathematik Theta-Reihe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002804564&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT freitageberhard singularmodularformsandthetarelations |
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Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 001z 2001 B 999-1487 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |