A TRACE FORMULA FOR HECKE OPERATORS ON VECTOR-VALUED MODULAR FORMS

作者:Raulf Nicole*; Stein Oliver
来源:Glasgow Mathematical Journal, 2017, 59(1): 143-165.
DOI:10.1017/S0017089516000094

摘要

We present a ready to compute trace formula for Hecke operators on vector-valued modular 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.

  • 出版日期2017-1

全文