KOECHER-MAASS SERIES OF A CERTAIN HALF-INTEGRAL WEIGHT MODULAR FORM RELATED TO THE DUKE-IMAMOGLU-IKEDA LIFT

Katsurada, Hidenori; Kawamura, Hisa-aki

Hokkaido University Preprint Series in Mathematics, 2013, 1038, 1-41

Permalink : https://doi.org/10.14943/84182

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DOI	https://doi.org/10.14943/84182
URI	https://hdl.handle.net/2115/69842
タイトル	KOECHER-MAASS SERIES OF A CERTAIN HALF-INTEGRAL WEIGHT MODULAR FORM RELATED TO THE DUKE-IMAMOGLU-IKEDA LIFT
著者	著者名 Katsurada, Hidenori
著者	著者名 Kawamura, Hisa-aki
言語	英語
キーワード	Koecher-Maass series
キーワード	Duke-Imamoglu-Ikeda lift
発行日	2013-06-28
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	1038
ページ	1-41
抄録	Let k and n be positive even integers. For a cuspidal Hecke eigenform h in the Kohnen plus space of weight k¡n/2+1/2 for Γ0(4), let f be the corresponding primitive form of weight 2k ¡ n for SL2(Z) under the Shimura correspondence, and In(h) the Duke-Imamo¯glu-Ikeda lift of h to the space of cusp forms of weight k for Spn(Z). Moreover, let φIn(h),1 be the first Fourier-Jacobi coefficient of In(h) and σn−1(φIn(h),1) be the cusp form in the generalized Kohnen plus space of weight k¡1/2 corresponding to φIn(h),1 under the Ibukiyama isomorphism. We then give an explicit formula for the Koecher-Maass series L(s, σn−1(φIn(h),1)) of σn−1(φIn(h),1) expressed in terms of the usual L-functions of h and f.
資源タイプ	紀要論文
出版タイプ	Version of Record