CORRECTION AND ADDENDUM TO: THE FOURIER EXPANSION OF HECKE OPERATORS FOR VECTOR-VALUED MODULAR FORMS

被引:0
作者
Stein, Oliver [1 ]
机构
[1] Ostbayer TH Regensburg, Fak Informat & Math, Galgenbergstr 32, D-93053 Regensburg, Germany
关键词
Weil representation; vector valued modular forms; Hecke operators; Fourier expan-sion;
D O I
10.7169/facm/1969
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We correct a mistake in [St] leading to erroneous formulas in Theorems 5.2 and 5.4. As an immediate corollary of a formula in [BCJ] we give a formula which relates the Hecke operators T(p2) degrees T(p2l-2), T(p2l) and T(p2l-4) and comment on it.
引用
收藏
页码:189 / 198
页数:10
相关论文
共 6 条
[1]   Hecke Operators on Vector-Valued Modular Forms [J].
Bouchard, Vincent ;
Creutzig, Thomas ;
Joshi, Aniket .
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2019, 15
[2]   On the converse theorem for Borcherds products [J].
Bruinier, Jan Hendrik .
JOURNAL OF ALGEBRA, 2014, 397 :315-342
[3]   The Weil representation and Hecke operators for vector valued modular forms [J].
Bruinier, Jan Hendrik ;
Stein, Oliver .
MATHEMATISCHE ZEITSCHRIFT, 2010, 264 (02) :249-270
[4]   Eisenstein series attached to lattices and modular forms on orthogonal groups [J].
Bruinier, JH ;
Kuss, M .
MANUSCRIPTA MATHEMATICA, 2001, 106 (04) :443-459
[5]  
McCarthy P. M., 1986, Introduction to Arithmetical Functions
[6]   THE FOURIER EXPANSION OF HECKE OPERATORS FOR VECTOR-VALUED MODULAR FORMS [J].
Stein, Oliver .
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2015, 52 (02) :229-252