Trace identities of twisted Hecke operators on the spaces of cusp forms of half-integral weight

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Abstract

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.

Journal

  • Proceedings of the Japan Academy Ser. A Mathematical Sciences

    Proceedings of the Japan Academy Ser. A Mathematical Sciences 80(7), 131-135, 2004-09

    日本学士院

Codes

  • NII Article ID (NAID)
    120006581099
  • NII NACSIS-CAT ID (NCID)
    AA00785474
  • Text Lang
    ENG
  • Article Type
    journal article
  • ISSN
    03862194
  • NDL Article ID
    7187288
  • NDL Source Classification
    ZM31(科学技術--数学)
  • NDL Call No.
    Z53-T494
  • Data Source
    NDL  IR 
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