A TRACE FORMULA FOR HECKE OPERATORS ON VECTOR-VALUED MODULAR FORMS
Glasgow mathematical journal, Tome 59 (2017) no. 1, pp. 143-165
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We present a ready to compute trace formula for Hecke operators on vector-valuedmodular forms of integral weight for SL2(Z) transforming under the Weil representation. As a corollary, we obtain a ready to compute dimension formula for the corresponding space of vector-valued cusp forms, which is more general than the dimension formulae previously published in the vector-valued setting.
RAULF, NICOLE; STEIN, OLIVER. A TRACE FORMULA FOR HECKE OPERATORS ON VECTOR-VALUED MODULAR FORMS. Glasgow mathematical journal, Tome 59 (2017) no. 1, pp. 143-165. doi: 10.1017/S0017089516000094
@article{10_1017_S0017089516000094,
author = {RAULF, NICOLE and STEIN, OLIVER},
title = {A {TRACE} {FORMULA} {FOR} {HECKE} {OPERATORS} {ON} {VECTOR-VALUED} {MODULAR} {FORMS}},
journal = {Glasgow mathematical journal},
pages = {143--165},
year = {2017},
volume = {59},
number = {1},
doi = {10.1017/S0017089516000094},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000094/}
}
TY - JOUR AU - RAULF, NICOLE AU - STEIN, OLIVER TI - A TRACE FORMULA FOR HECKE OPERATORS ON VECTOR-VALUED MODULAR FORMS JO - Glasgow mathematical journal PY - 2017 SP - 143 EP - 165 VL - 59 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000094/ DO - 10.1017/S0017089516000094 ID - 10_1017_S0017089516000094 ER -
%0 Journal Article %A RAULF, NICOLE %A STEIN, OLIVER %T A TRACE FORMULA FOR HECKE OPERATORS ON VECTOR-VALUED MODULAR FORMS %J Glasgow mathematical journal %D 2017 %P 143-165 %V 59 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000094/ %R 10.1017/S0017089516000094 %F 10_1017_S0017089516000094
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