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Koecher-Maass series of a certain half-integral weight modular form related to the Duke-Imamaglu-Ikeda lift
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作成者 |
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権利情報 |
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主題 |
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Koecher-Maass series
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other
Duke-Imamo glu-Ikeda lift
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NDC
541
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内容注記 |
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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.
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出版者 |
Seminarjum Matematyczne Uniwersytetu
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日付 |
Created2016-02-15
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Issued2014
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言語 |
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資源識別のタイプ |
journal article |
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AM |
資源識別子 |
URI
http://hdl.handle.net/10258/3826
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関連 |
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DOI
https://doi.org/10.4064/aa162-1-1
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NAID
120005669624
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収録誌情報 |
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NCID
AA00506479
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ISSN
0065-1036
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Acta arithmetica
162(1), 1-42
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ファイル |
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コンテンツ更新日時 |
2020-06-25 |