Holdings: Modular Forms with Integral and Half-Integral Weights

Modular Forms with Integral and Half-Integral Weights:

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Bibliographic Details
Main Authors:	Wang, Xueli (Author), Pei, Dingyi (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer [u.a.] 2012
Subjects:	Modulform Eisenstein-Reihe
Online Access:	Inhaltstext Inhaltsverzeichnis
Physical Description:	X, 432 S. Ill.
ISBN:	9783642293016 3642293018 9787030330796

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MARC


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Record in the Search Index

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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
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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
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