Trace formula of twisting operators of half-integral weight in the case of even conductors

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Abstract

Let $S(k + 1/2, N, chi)$ denote the space of cusp forms of weight $k+1/2$, level $N$, and character $chi$. Let $R_{psi}$ be a twisting operator for a quadratic primitive character $psi$ of even conductor and $ilde{T}(n^2)$ the $n^2$-th Hecke operator. We give an explicit trace formula of $R_{psi} ilde{T}(n^2)$ on $S(k + 1/2, N, chi)$.

Journal

  • Proceedings of the Japan Academy Ser. A Mathematical Sciences

    Proceedings of the Japan Academy Ser. A Mathematical Sciences 79(4), 85-88, 2003-04

    日本学士院

Codes

  • NII Article ID (NAID)
    120006657109
  • NII NACSIS-CAT ID (NCID)
    AA00785474
  • Text Lang
    ENG
  • Article Type
    journal article
  • ISSN
    03862194
  • NDL Article ID
    6547163
  • NDL Source Classification
    ZM31(科学技術--数学)
  • NDL Call No.
    Z53-T494
  • Data Source
    NDL  IR 
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