Equivariant functions and vector-valued modular forms

被引：7

作者：

Saber, Hicham ^{[1
]}

Sebbar, Abdellah ^{[1
]}

机构：

[1] Univ Ottawa, Dept Math & Stat, Ottawa, ON K1N 6N5, Canada

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2014年 / 10卷 / 04期

关键词：

Equivariant forms; vector-modular forms; Schwarz derivative; monodromy;

D O I：

10.1142/S1793042114500092

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For any discrete group G and any two-dimensional complex representation. of G, we introduce the notion of rho-equivariant functions, and we show that they are parametrized by vector-valued modular forms. We also provide examples arising from the monodromy of differential equations.

引用

页码：949 / 954

页数：6

共 50 条

[41] VECTOR-VALUED MODULAR FORMS ON A THREE-DIMENSIONAL BALL
Freitag, Eberhard
Manni, Riccardo Salvati
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 371 (08) : 5293 - 5308
[42] THE MODULE OF VECTOR-VALUED MODULAR FORMS IS COHEN-MACAULAY
Gottesman, Richard
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2020, 70 (04) : 1211 - 1218
[43] The Dimension of Spaces of Vector-Valued Modular Forms of Integer Weight
Peter Bantay
Letters in Mathematical Physics, 2013, 103 : 1243 - 1260
[44] A TRACE FORMULA FOR HECKE OPERATORS ON VECTOR-VALUED MODULAR FORMS
Raulf, Nicole
Stein, Oliver
GLASGOW MATHEMATICAL JOURNAL, 2017, 59 (01) : 143 - 165
[45] THE FOURIER EXPANSION OF HECKE OPERATORS FOR VECTOR-VALUED MODULAR FORMS
Stein, Oliver
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2015, 52 (02) : 229 - 252
[46] A family of vector-valued quantum modular forms of depth two
Males, Joshua
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2020, 16 (01) : 29 - 64
[47] Lifting newforms to vector-valued modular forms for the Weil representation
Schwagenscheidt, Markus
Voelz, Fabian
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2015, 11 (07) : 2199 - 2219
[48] Vector-valued p-adic Siegel modular forms
Ichikawa, Takashi
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2014, 690 : 35 - 49
[49] The module of vector-valued modular forms is Cohen-Macaulay
Richard Gottesman
Czechoslovak Mathematical Journal, 2020, 70 : 1211 - 1218
[50] The Dimension of Spaces of Vector-Valued Modular Forms of Integer Weight
Bantay, Peter
LETTERS IN MATHEMATICAL PHYSICS, 2013, 103 (11) : 1243 - 1260

← 1 2 3 4 5 →