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Title
  • Trace formula and trace identity of twisted Hecke operators on the spaces of cusp forms of weight k+1/2 and level 32M
Creator
Subject
  • Other trace formula
  • Other twisting operator
  • Other half-integral weight
  • Other trace identity
  • Other Hecke operator
Description
  • Other type:Article
  • Other Let M be an odd positive integer, χ an even quadratic character defined modulo 32M, and ψ a quadratic primitive character of conductor divisible by 8. Then, we can define twisted Hecke operators RψT(n2) on the space of cusp forms of weight k þ 1=2, level 32M, and character χ, under certain conditions on the conductors of χ and ψ This is a specific feature of the case of half-integral weight. We give explicit trace formulas of the twisted Hecke operators and their trace identities.
Publisher The Japan Academy
Date
    Created2009-11-18 , Issued2009-02
Language
  • eng
Resource Type journal article
Version Type VoR
Identifier URI http://hdl.handle.net/10935/910
Journal
    • NCID AA00785463
    • ISSN 0386-2194
      • Proceedings of the Japan Academy, Series.A, 85(2), 11-15
File
Oaidate 2021-04-13