Theta constants and Teichmuller modular forms

被引：9

作者：

Ichikawa, T ^{[1
]}

机构：

[1] SAGA UNIV,FAC SCI & ENGN,DEPT MATH,SAGA 840,JAPAN

来源：

JOURNAL OF NUMBER THEORY | 1996年 / 61卷 / 02期

关键词：

D O I：

10.1006/jnth.1996.0156

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we determine a primitive Teichmuller modular form of degree g greater than or equal to 3 over Z obtained from dividing the product of even theta constants by a certain integer, and we study this root as a Teichmuller modular form over Q. (C) 1996 Academic Press, Inc.

引用

页码：409 / 419

页数：11

共 50 条

[1] ON TEICHMULLER MODULAR-FORMS
ICHIKAWA, T
[J]. MATHEMATISCHE ANNALEN, 1994, 299 (04) : 731 - 740
[2] THETA CONSTANTS AND CUSP FORMS
CRISALLI, AJ
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 201 (JAN) : 125 - 132
[3] Generalized Tate curve and integral Teichmuller modular forms
Ichikawa, T
[J]. AMERICAN JOURNAL OF MATHEMATICS, 2000, 122 (06) : 1139 - 1174
[4] KLEIN'S FORMULAS AND ARITHMETIC OF TEICHMULLER MODULAR FORMS
Ichikawa, Takashi
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146 (12) : 5105 - 5112
[5] TEICHMULLER MODULAR-FORMS OF DEGREE-3
ICHIKAWA, T
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1995, 117 (04) : 1057 - 1061
[6] REPRESENTABILITY OF MODULAR FORMS BY THETA SERIES
PIZER, A
[J]. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1976, 28 (04) : 689 - 698
[7] Modular forms associated to theta functions
Lee, MH
[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2002, 45 (02): : 257 - 264
[8] DERIVATIVES OF THETA FUNCTIONS AND MODULAR FORMS
SHIMURA, G
[J]. DUKE MATHEMATICAL JOURNAL, 1977, 44 (02) : 365 - 387
[9] On the non-vanishing of theta lifting of Bianchi modular forms to Siegel modular forms
Zhang, Di
[J]. ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2024,
[10] THETA-FUNCTIONS AND HILBERT MODULAR FORMS
KUDLA, SS
[J]. NAGOYA MATHEMATICAL JOURNAL, 1978, 69 (FEB) : 97 - 106

← 1 2 3 4 5 →