Modular forms associated to theta functions

被引：2

作者：

Lee, MH ^{[1
]}

机构：

[1] Univ No Iowa, Dept Math, Cedar Falls, IA 50614 USA

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2002年 / 45卷 / 02期

关键词：

D O I：

10.4153/CMB-2002-029-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use the theory of Jacobi-like forms to construct modular forms for a congruence subgroup of SL(2, R) which can be expressed as linear combinations of products of certain theta functions.

引用

页码：257 / 264

页数：8

共 50 条

[1] DERIVATIVES OF THETA FUNCTIONS AND MODULAR FORMS
SHIMURA, G
[J]. DUKE MATHEMATICAL JOURNAL, 1977, 44 (02) : 365 - 387
[2] THETA-FUNCTIONS AND HILBERT MODULAR FORMS
KUDLA, SS
[J]. NAGOYA MATHEMATICAL JOURNAL, 1978, 69 (FEB) : 97 - 106
[3] MOCK THETA FUNCTIONS AND QUANTUM MODULAR FORMS
Folsom, Amanda
Ono, Ken
Rhoades, Robert C.
[J]. FORUM OF MATHEMATICS PI, 2013, 1
[4] Cubic theta functions and modular forms of level six
Kazuhide Matsuda
[J]. The Ramanujan Journal, 2023, 62 : 469 - 532
[5] PERIODS OF MODULAR-FORMS AND JACOBI THETA FUNCTIONS
ZAGIER, D
[J]. INVENTIONES MATHEMATICAE, 1991, 104 (03) : 449 - 465
[6] Cubic theta functions and modular forms of level six
Matsuda, Kazuhide
[J]. RAMANUJAN JOURNAL, 2023, 62 (02): : 469 - 532
[7] Mock modular forms and geometric theta functions for indefinite quadratic forms
Funke, Jens
Kudla, Stephen S.
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2017, 50 (40)
[8] DIFFERENTIAL OPERATORS ON MODULAR FORMS ASSOCIATED TO THETA SERIES
Lee, Min Ho
[J]. FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2015, 52 (01) : 75 - 82
[9] Hilbert modular forms of weight 1/2 and theta functions
Achimescu, Sever
Saha, Abhishek
[J]. JOURNAL OF NUMBER THEORY, 2008, 128 (12) : 3037 - 3062
[10] Cycle integrals of meromorphic modular forms and Siegel theta functions
Schwagenscheidt, Markus
[J]. RAMANUJAN JOURNAL, 2024, 64 (03): : 765 - 777

← 1 2 3 4 5 →