Koecher-Maass series of a certain half-integral weight modular form related to the Duke-Imamaglu-Ikeda lift

KATSURADA   Hidenori; KAWAMURA   Hisa-aki

タイトル	en Koecher-Maass series of a certain half-integral weight modular form related to the Duke-Imamaglu-Ikeda lift
作成者	KATSURADA, Hidenori NRID 1000080133792 KAWAMURA, Hisa-aki
権利情報	©2014 IMPAN
主題	other Koecher-Maass series other Duke-Imamo glu-Ikeda lift NDC 541
内容注記	Other Let k and n be positive even integers. For a cuspidal Hecke eigenformh in the Kohnen plus space of weight k - n/2 + 1/2 for Γ0(4); let f bethe corresponding primitive form of weight 2k - n for SL2(Z) under the Shimura correspondence, and In(h) the Duke-Imamoglu-Ikeda lift of h tothe space of cusp forms of weight k for Spn(Z). Moreover, let φIn(h),1 be the rst Fourier-Jacobi coe cient 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 toφIn(h),1 under the Ibukiyama isomorphism. We give an explicit formula for the Koecher-Maass series L(s, σn-1( In(h),1)) of n-1(φIn(h);1) expressed interms of the usual L-functions of h and f.
出版者	Seminarjum Matematyczne Uniwersytetu
日付	Created2016-02-15 , Issued2014
言語	eng
資源識別のタイプ	journal article
出版タイプ	AM
資源識別子	URI http://hdl.handle.net/10258/3826
関連	isIdenticalTo DOI https://doi.org/10.4064/aa162-1-1 isIdenticalTo NAID 120005669624
収録誌情報	NCID AA00506479 ISSN 0065-1036 Acta arithmetica 162(1), 1-42
ファイル	https://muroran-it.repo.nii.ac.jp/?action=repository_action_common_download&item_id=7178&item_no=1&attribute_id=24&file_no=1 (application/pdf)
コンテンツ更新日時	2020-06-25