Modular Forms with Integral and Half-Integral Weights:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer [u.a.]
2012
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | X, 432 S. Ill. |
| ISBN: | 9783642293016 3642293018 9787030330796 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1809404188015198208 |
|---|---|
| adam_text |
IMAGE 1
C O N T E N T S
CHAPTER 1 T H E T A F U N C T I O N S A N D T H E I R TRANSFORMATION
FORMULAE 1
C H A P T E R 2 E I S E N S T E I N SERIES 13
2.1 EISENSTEIN SERIES WITH HALF INTEGRAL WEIGHT 13
2.2 EISENSTEIN SERIES WITH INTEGRAL WEIGHT 37
C H A P T E R 3 T H E M O D U L A R G R O U P A N D I T S S U B G R O U
P S 45
C H A P T E R 4 M O D U L A R F O R M S W I T H INTEGRAL W E I G H T O R
HALF-INTEGRAL W E I G H T 65
4.1 DIMENSION FORMULA FOR MODULAR FORMS WITH INTEGRAL WEIGHT 65
4.2 DIMENSION FORMULA FOR MODULAR FORMS WITH HALF-INTEGRAL WEIGHT 81
REFERENCES 88
C H A P T E R 5 O P E R A T O R S O N T H E S P A C E O F M O D U L A R
F O R M S 89
5.1 HECKE RINGS 89
5.2 A REPRESENTATION OF THE HECKE RING ON THE SPACE OF MODULAR FORMS - -
* -113
5.3 ZETA FUNCTIONS OF MODULAR FORMS, FUNCTIONAL EQUATION, WEIL THEOREM
120
5.4 HECKE OPERATORS ON THE SPACE OF MODULAR FORMS WITH HALF-INTEGRAL
WEIGHT 134
REFERENCES 152
C H A P T E R 6 N E W F O R M S A N D O L D F O R M S 153
6.1 NEW FORMS WITH INTEGRAL WEIGHT 153
6.2 NEW FORMS WITH HALF INTEGRAL WEIGHT 178
6.3 DIMENSION FORMULAE FOR T H E SPACES OF NEW FORMS 200
C H A P T E R 7 C O N S T R U C T I O N O F E I S E N S T E I N SERIES
205
7.1 CONSTRUCTION OF EISENSTEIN SERIES WITH WEIGHT ^ 5 / 2 205
7.2 CONSTRUCTION OF EISENSTEIN SERIES WITH WEIGHT 1/2 221
7.3 CONSTRUCTION OF EISENSTEIN SERIES WITH WEIGHT 3 / 2 232
7.4 CONSTRUCTION OF COHEN-EISENSTEIN SERIES 246
7.5 CONSTRUCTION OF EISENSTEIN SERIES WITH INTEGRAL WEIGHT 255
REFERENCES 263
C H A P T E R 8 W E I L R E P R E S E N T A T I O N A N D S H I M U R A
LIFTING 265
8.1 WEIL REPRESENTATION 265
8.2 SHIMURA LIFTING FOR CUSP FORMS 280
HTTP://D-NB.INFO/1020606592
IMAGE 2
X C O N T E N T S
8.3 SHIMURA LIFTING OF EISENSTEIN SPACES 299
8.4 A CONGRUENCE RELATION BETWEEN SOME MODULAR FORMS 309
REFERENCES 318
C H A P T E R 9 TRACE FORMULA 321
9.1 EICHLER-SELBERG TRACE FORMULA ON SX2(Z) 321
9.2 EICHLER-SELBERG TRACE FORMULA ON FUCHSIAN GROUPS * * 335
9.3 TRACE FORMULA ON THE SPACE S K + 1 / 2 ( N , X ) 348
REFERENCES 362
C H A P T E R 10 INTEGERS R E P R E S E N T E D B Y P O S I T I V E D E
F I N I T E QUADRATIC F O R M S 363
10.1 T H E T A FUNCTION OF A POSITIVE DEFINITE QUADRATIC FORM AND ITS
VALUES A T CUSP POINTS - ' 363
10.2 THE MINIMAL INTEGER REPRESENTED BY A POSITIVE DEFINITE QUADRATIC
FORM 376
10.3 THE ELIGIBLE NUMBERS OF A POSITIVE DEFINITE TERNARY QUADRATIC FORM
90
REFERENCES 428
I N D E X 431 |
| any_adam_object | 1 |
| author | Wang, Xueli Pei, Dingyi |
| author_facet | Wang, Xueli Pei, Dingyi |
| author_role | aut aut |
| author_sort | Wang, Xueli |
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| dewey-ones | 512 - Algebra |
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| dewey-sort | 3512.73 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV040720425 |
| illustrated | Illustrated |
| indexdate | 2024-09-06T00:25:01Z |
| institution | BVB |
| isbn | 9783642293016 3642293018 9787030330796 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025700662 |
| oclc_num | 828075390 |
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| owner | DE-11 |
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| physical | X, 432 S. Ill. |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Springer [u.a.] |
| record_format | marc |
| spelling | Wang, Xueli Verfasser aut Modular Forms with Integral and Half-Integral Weights Xueli Wang ; Dingyi Pei Berlin [u.a.] Springer [u.a.] 2012 X, 432 S. Ill. txt rdacontent n rdamedia nc rdacarrier Modulform (DE-588)4128299-1 gnd rswk-swf Eisenstein-Reihe (DE-588)4131762-2 gnd rswk-swf Modulform (DE-588)4128299-1 s Eisenstein-Reihe (DE-588)4131762-2 s DE-604 Pei, Dingyi Verfasser aut X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3991773&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025700662&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wang, Xueli Pei, Dingyi Modular Forms with Integral and Half-Integral Weights Modulform (DE-588)4128299-1 gnd Eisenstein-Reihe (DE-588)4131762-2 gnd |
| subject_GND | (DE-588)4128299-1 (DE-588)4131762-2 |
| title | Modular Forms with Integral and Half-Integral Weights |
| title_auth | Modular Forms with Integral and Half-Integral Weights |
| title_exact_search | Modular Forms with Integral and Half-Integral Weights |
| title_full | Modular Forms with Integral and Half-Integral Weights Xueli Wang ; Dingyi Pei |
| title_fullStr | Modular Forms with Integral and Half-Integral Weights Xueli Wang ; Dingyi Pei |
| title_full_unstemmed | Modular Forms with Integral and Half-Integral Weights Xueli Wang ; Dingyi Pei |
| title_short | Modular Forms with Integral and Half-Integral Weights |
| title_sort | modular forms with integral and half integral weights |
| topic | Modulform (DE-588)4128299-1 gnd Eisenstein-Reihe (DE-588)4131762-2 gnd |
| topic_facet | Modulform Eisenstein-Reihe |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3991773&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025700662&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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