| Title |
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en
Koecher-Maass series of a certain half-integral weight modular form related to the Duke-Imamaglu-Ikeda lift
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| Creator |
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en
Katsurada, Hidenori
ja
桂田, 英典
ja-Kana
カツラダ, ヒデノリ
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en
KAWAMURA, Hisa-aki
ja
河村, 尚明
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| Accessrights |
open access |
| Rights |
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| Subject |
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NDC
541
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Other
en
Koecher-Maass series
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Other
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Duke-Imamo glu-Ikeda lift
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| Description |
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Other
application/pdf
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Abstract
en
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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| Publisher |
en
Seminarjum Matematyczne Uniwersytetu
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| Date |
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| Language |
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| Resource Type |
journal article |
| Version Type |
AM |
| Identifier |
HDL
http://hdl.handle.net/10258/3826
,
URI
https://muroran-it.repo.nii.ac.jp/records/7178
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| Relation |
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isVersionOf
NAID
120005669624
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isVersionOf
DOI
https://doi.org/10.4064/aa162-1-1
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| Journal |
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PISSN
00651036
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NCID
AA00506479
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en
Acta arithmetica
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Volume Number162
Issue Number1
Page Start1
Page End42
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| File |
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| Oaidate |
2023-10-27 |
