KOECHER-MAASS SERIES OF THE IKEDA LIFT FOR U(m,m)

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Abstract

Let K = √ Q(−D) be an imaginary quadratic field with discriminant−D, and χ the Dirichlet character corresponding to the extension K / Q. Let m = 2n or 2n + 1 with n a positive integer. Let f be a primitive form of weight 2k + 1 and character χ for Γ0(D), or a primitive form of weight 2k for SL2(Z) according as m = 2n, or m = 2n + 1. For such an f let Im(f) be the lift of f to the space of Hermitian modular forms constructed by Ikeda. We then give an explicit formula of the Koecher-Maass series L(s, Im(f)) of Im(f). This is a generalization of Mizuno [Mi06].

Journal

  • Kyoto journal of mathematics

    Kyoto journal of mathematics 55(2), 321-364, 2015

    Duke University Press on behalf of Kyoto University

Codes

  • NII Article ID (NAID)
    120005669627
  • NII NACSIS-CAT ID (NCID)
    AA12478508
  • Text Lang
    ENG
  • Article Type
    journal article
  • ISSN
    2156-2261
  • Data Source
    IR 
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