Lectures on Siegel modular forms and representation by quadratic forms:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1986
|
| Series: | Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics
77 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 227 S. |
| ISBN: | 3540164723 0387164723 |
Staff View
MARC
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| 245 | 1 | 0 | |a Lectures on Siegel modular forms and representation by quadratic forms |c by Y. Kitaoka |
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Record in the Search Index
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| adam_text | CONTENTS
CHAPTER 1. FOURIER COEFFICIENTS OF SIEGEL MODULAR FORMS
Introduction .. 1
S 1.1. Estimates for Fourier coefficients of cusp forms
of degree 1 . .10
§ 1.2. Reduction theory .. 25
S 1.3. Minkowski reduced domain .. 35
§ 1.4. • Estimation of Fourier coefficients of modular forms
of degree n .. 45
§ 1.5. Generalization of Kloosterman s method to the case
of degree 2 ..83
§ 1.6. Estimation of Fourier coefficients of modular forms .. 117
§ 1.7. Primitive representations .. 161
CHAPTER 2. ARITHMETIC OF QUADRATIC FORMS
§ 2.0 Notation and terminology .. 167
§ 2.1 Quadratic nodules over C .. 169
§ 2.1.2. Modular and maximal lattices .. 170
§ 2.1.3. Jordan splittings .. 175
§ 2.1.4. Extension theorems .. 178
§ 2.2. The spinor norm .. 185
§ 2.3. Hasse Minkowski theorem .. 191
§ 2.4. Integral theory of quadratic forms .. 192
REFERENCES .. 225
|
| any_adam_object | 1 |
| author | Kitaoka, Yoshiyuki |
| author_facet | Kitaoka, Yoshiyuki |
| author_role | aut |
| author_sort | Kitaoka, Yoshiyuki |
| author_variant | y k yk |
| building | Verbundindex |
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| classification_tum | MAT 103f |
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| dewey-full | 510.4 |
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| dewey-ones | 510 - Mathematics |
| dewey-raw | 510.4 |
| dewey-search | 510.4 |
| dewey-sort | 3510.4 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002000328 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:38:40Z |
| institution | BVB |
| isbn | 3540164723 0387164723 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001304833 |
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| physical | 227 S. |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | Springer |
| record_format | marc |
| series2 | Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics |
| spelling | Kitaoka, Yoshiyuki Verfasser aut Lectures on Siegel modular forms and representation by quadratic forms by Y. Kitaoka Berlin [u.a.] Springer 1986 227 S. txt rdacontent n rdamedia nc rdacarrier Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics 77 Formes modulaires Formes modulaires ram Formes quadratiques ram Formes quaternaires Forms, Modular Forms, Quadratic Siegel-Modulform (DE-588)4129460-9 gnd rswk-swf Quadratische Form (DE-588)4128297-8 gnd rswk-swf Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Siegel-Modulform (DE-588)4129460-9 s DE-604 Quadratische Form (DE-588)4128297-8 s Darstellungstheorie (DE-588)4148816-7 s Mathematics Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics 77 (DE-604)BV000015654 77 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001304833&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kitaoka, Yoshiyuki Lectures on Siegel modular forms and representation by quadratic forms Formes modulaires Formes modulaires ram Formes quadratiques ram Formes quaternaires Forms, Modular Forms, Quadratic Siegel-Modulform (DE-588)4129460-9 gnd Quadratische Form (DE-588)4128297-8 gnd Darstellungstheorie (DE-588)4148816-7 gnd |
| subject_GND | (DE-588)4129460-9 (DE-588)4128297-8 (DE-588)4148816-7 |
| title | Lectures on Siegel modular forms and representation by quadratic forms |
| title_auth | Lectures on Siegel modular forms and representation by quadratic forms |
| title_exact_search | Lectures on Siegel modular forms and representation by quadratic forms |
| title_full | Lectures on Siegel modular forms and representation by quadratic forms by Y. Kitaoka |
| title_fullStr | Lectures on Siegel modular forms and representation by quadratic forms by Y. Kitaoka |
| title_full_unstemmed | Lectures on Siegel modular forms and representation by quadratic forms by Y. Kitaoka |
| title_short | Lectures on Siegel modular forms and representation by quadratic forms |
| title_sort | lectures on siegel modular forms and representation by quadratic forms |
| topic | Formes modulaires Formes modulaires ram Formes quadratiques ram Formes quaternaires Forms, Modular Forms, Quadratic Siegel-Modulform (DE-588)4129460-9 gnd Quadratische Form (DE-588)4128297-8 gnd Darstellungstheorie (DE-588)4148816-7 gnd |
| topic_facet | Formes modulaires Formes quadratiques Formes quaternaires Forms, Modular Forms, Quadratic Siegel-Modulform Quadratische Form Darstellungstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001304833&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000015654 |
| work_keys_str_mv | AT kitaokayoshiyuki lecturesonsiegelmodularformsandrepresentationbyquadraticforms |