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Title
  • en Ikeda's conjecture on the period of the Duke-Imamoglu-Ikeda lift
Creator

KATSURADA, Hidenori

KAWAMURA, Hisa-aki

Rights
    • © London Mathematical Society
Subject
  • NDC 413
Description
Other
  • 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 In(h) be the Duke-Imamoglu-Ikeda lift of h in the space of cusp forms of weight k for Spn(Z), and f the primitive form of weight 2k - n for SL2(Z) corresponding to h under the Shimura correspondence. We then express the ratio <In(h), In(h)>/<h, h> of the period of In(h) to that of h in terms of special values of certain L-functions of f. This proves the conjecture proposed by Ikeda concerning the period of the Duke-Imamoglu-Ikeda lift.
PublisherLondon Mathematical Society
Date Created 2016-02-15 , Issued 2015
Languageeng
NIItypejournal article
VersiontypeAM
Identifier URI http://hdl.handle.net/10258/3828
Relation
  • isIdenticalTo DOI https://doi.org/10.1112/plms/pdv011
  • isIdenticalTo NAID 120005669626
Journal
    • NCID AA0078577X
    • ISSN 0024-6115
    • Proceedings of the London Mathematical Society. Ser. 3
    111(5), 445-483
File
Oaidate2020-02-10T09:11:23Z