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Title
  • Trace identities of twisted Hecke operators on the spaces of cusp forms of half-integral weight
Creator
Subject
  • Other Trace identity
  • Other twisting operator
  • Other half-integral weight
  • Other Hecke operator
  • Other cusp form
Description
  • Other type:Article
  • Other Let $R_{psi}$ be a twisting operator for a quadratic primitive character $psi$ and $ilde{T}(n^2)$ the $n^2$-th Hecke operator of half-integral weight. When $psi$ has an odd conductor, we already found trace identities between twisted Hecke operators $R_{psi} ilde{T}(n^2)$ of half-integral weight and certain Hecke operators of integral weight for almost all cases (cf. [U1--3]). In this paper, the restriction is removed and we give similar trace identities for every quadratic primitive character $psi$, including the case that $psi$ has an even conductor.
Publisher 日本学士院
Date
    Created2010-02-01 , Issued2004
Language
  • eng
Resource Type journal article
Version Type VoR
Identifier URI http://hdl.handle.net/10935/1428
Relation
  • isIdenticalTo DOI https://doi.org/10.3792/pjaa.80.131
Journal
    • NCID AA00785474
    • ISSN 0386-2194
      • Proceedings Japan Academy Ser. A 80(7), 131-135
File
Oaidate 2021-04-13