KOECHER-MAASS SERIES OF THE IKEDA LIFT FOR U(m,m)
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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].
- Kyoto journal of mathematics
Kyoto journal of mathematics 55(2), 321-364, 2015
Duke University Press on behalf of Kyoto University