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Title
  • en Trace formula and trace identity of twisted Hecke operators on the spaces of cusp forms of weight k+1/2 and level 32M
Alternative
  • 2009-11-18
Creator
    • ja 上田,勝 ja-Kana うえだ,まさる en Ueda,Masaru
Subject
  • Other en half-integral weight
  • Other en Hecke operator
  • Other en trace formula
  • Other en trace identity
  • Other en twisting operator
Description
  • Abstract en 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 en The Japan Academy
Date
    Issued2009-02
Language
  • eng
Resource Type journal article
Version Type VoR
Identifier HDL http://hdl.handle.net/10935/910 , URI https://nara-wu.repo.nii.ac.jp/records/2002179
Relation
  • NCID AA00785463
  • isVersionOf DOI https://doi.org/10.3792/pjaa.85.11 10.3792/pjaa.85.11
Journal
    • PISSN 0386-2194
      • en Proceedings of the Japan Academy, Series.A,
      • Volume Number85 Issue Number2 Page Start11 Page End15
File
Oaidate 2024-08-11