Abstract
Let be an imaginary quadratic field with discriminant , and let be the Dirichlet character corresponding to the extension . Let or with a positive integer. Let be a primitive form of weight and character for or a primitive form of weight for according to whether or . For such an let be the lift of to the space of Hermitian modular forms constructed by Ikeda. We then give an explicit formula of the Koecher–Maass series of . This is a generalization of Mizuno.
Citation
Hidenori Katsurada. "Koecher–Maass series of the Ikeda lift for ." Kyoto J. Math. 55 (2) 321 - 364, June 2015. https://doi.org/10.1215/21562261-2871776
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