Dimensions of spaces of Siegel cusp forms of degree two and three:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Mathematical Society
1984
|
| Series: | American Mathematical Society: Memoirs of the American Mathematical Society
304 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Volume 50, Number 304 (first of 3 numbers) |
| Physical Description: | VI, 184 S. |
| ISBN: | 0821823051 |
Staff View
MARC
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| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 304 | |
| 500 | |a Volume 50, Number 304 (first of 3 numbers) | ||
| 650 | 4 | |a Cusp forms (Mathematics) | |
| 650 | 4 | |a Integrals | |
| 650 | 4 | |a Selberg trace formula | |
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Record in the Search Index
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| adam_text | TABLE OF CONTENTS
LIST OF NOTATIONS v
INTRODUCTION 1
CHAPTER I CONJUGACY CLASSES OF Sp(2,Z) 7
1.1 Introduction 7
1.2 Representatives of conjugacy classes of finite
order elements ••• 8
1.3 Conjugacy classes of finite order elements in
Sp(2,Z) £ 11
1.4 Conjugacy classes of Ti • 14
1.5 Conjugacy classes of T o°° ••• 17
CHAPTER II DIMENSION FORMULA FOR THE VECTOR SPACE OF CUSP
FORMS OF DEGREE TWO WITH RESPECT TO Sp(2,Z) ••• 21
2 .1 Introduction 21
2.2 Contributions from elliptic conjugacy classes •• 22
2.3 Contributions from conjugacy classes of elements
having a one dimensional set of fixed points (I) 23
2.4 Contributions from conjugacy classes of elements
having a one dimensional set of fixed points (H) 30
2.5 Contributions from conjugacy classes of elements
having a two dimensional set of fixed points ••• 37
2.6 Contributions from conjugacy classes of unipotent
elements 43
2.7 A dimension formula for the vector space of cusp
forms with respect to Sp(2,Z) 44
CHAPTER III REPRESENTATIVES OF CONJUGACY CLASSES OF ELEMENTS
OF Sp(3,Z) IN Sp(3,R) 46
3 .1 Introduction 46
3.2 Conjugacy classes of torsion elements in
Sp(3,Z) 47
3.3 A classification of conjugacy classes of
Sp(3,Z) 51
3.4 Selberg s trace formula and its modification ••• 56
3.5 Conjugacy classes with zero contribution (I) ••• 62
3.6 Conjugacy classes with zero contribution (H) ••« 66
CHAPTER IV CONTRIBUTIONS FROM CONJUGACY CLASSES IN
All Ax U A2 U AQ 81
4 .1 Introduction 81
4.2 Contributions from elliptic conjugacy classes •• 82
4.3 Contributions from conjugacy classes of elements
having a one dimensional set of fixed points • • • 86
4.4 Contributions from conjugacy classes of elements
having a one dimensional set of fixed points ¦•• 97
iv TABLE OF CONTENTS
4.5 Contributions from conjugacy classes of elements
having a two dimensional set of fixed points •••• 114
4.6 Second case of conjugacy classes of elements
having a one dimensional set of fixed points •• • • 127
4.7 Second case of conjugacy classes of elements
having a two dimensional set of fixed points •••• 135
CHAPTER V CONTRIBUTIONS FROM CONJUGACY CLASSES IN AQ •••• 142
5.1 Introduction 142
5.2 A dimension formula for the principal congruence
subgroup T~(N) 142
5.3 Contributions from AQ(I) 149
5.4 A dimension formula for the principal congruence
subgroup T3(N) 154
5.5 Contributions from Ao(H) 169
5.6 A final remark 180
REFERENCES 182
|
| any_adam_object | 1 |
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| dewey-full | 510 512/.72 |
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| dewey-raw | 510 512/.72 |
| dewey-search | 510 512/.72 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV006346668 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:44:34Z |
| institution | BVB |
| isbn | 0821823051 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004016317 |
| oclc_num | 10780481 |
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| physical | VI, 184 S. |
| publishDate | 1984 |
| publishDateSearch | 1984 |
| publishDateSort | 1984 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Eie, Minking 1952- Verfasser (DE-588)140942785 aut Dimensions of spaces of Siegel cusp forms of degree two and three Minking Eie Providence, RI American Mathematical Society 1984 VI, 184 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 304 Volume 50, Number 304 (first of 3 numbers) Cusp forms (Mathematics) Integrals Selberg trace formula Siegel-Spitzenform (DE-588)4759034-8 gnd rswk-swf Dimension (DE-588)4149932-3 gnd rswk-swf Selberg-Spurformel (DE-588)4248208-2 gnd rswk-swf Siegel-Spitzenform (DE-588)4759034-8 s Dimension (DE-588)4149932-3 s DE-604 Selberg-Spurformel (DE-588)4248208-2 s American Mathematical Society: Memoirs of the American Mathematical Society 304 (DE-604)BV008000141 304 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004016317&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Eie, Minking 1952- Dimensions of spaces of Siegel cusp forms of degree two and three American Mathematical Society: Memoirs of the American Mathematical Society Cusp forms (Mathematics) Integrals Selberg trace formula Siegel-Spitzenform (DE-588)4759034-8 gnd Dimension (DE-588)4149932-3 gnd Selberg-Spurformel (DE-588)4248208-2 gnd |
| subject_GND | (DE-588)4759034-8 (DE-588)4149932-3 (DE-588)4248208-2 |
| title | Dimensions of spaces of Siegel cusp forms of degree two and three |
| title_auth | Dimensions of spaces of Siegel cusp forms of degree two and three |
| title_exact_search | Dimensions of spaces of Siegel cusp forms of degree two and three |
| title_full | Dimensions of spaces of Siegel cusp forms of degree two and three Minking Eie |
| title_fullStr | Dimensions of spaces of Siegel cusp forms of degree two and three Minking Eie |
| title_full_unstemmed | Dimensions of spaces of Siegel cusp forms of degree two and three Minking Eie |
| title_short | Dimensions of spaces of Siegel cusp forms of degree two and three |
| title_sort | dimensions of spaces of siegel cusp forms of degree two and three |
| topic | Cusp forms (Mathematics) Integrals Selberg trace formula Siegel-Spitzenform (DE-588)4759034-8 gnd Dimension (DE-588)4149932-3 gnd Selberg-Spurformel (DE-588)4248208-2 gnd |
| topic_facet | Cusp forms (Mathematics) Integrals Selberg trace formula Siegel-Spitzenform Dimension Selberg-Spurformel |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004016317&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT eieminking dimensionsofspacesofsiegelcuspformsofdegreetwoandthree |