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Title
  • en Congruence Primes of the Kim-Ramakrishnan-Shahidi Lift
Creator

KATSURADA, Hidenori

TAKEMORI, Sho

Rights
    • This is an Accepted Manuscript of an article published by Taylor & Francis in Experimental Mathematics on 02/07/2016, available online: http://wwww.tandfonline.com/10.1080/10586458.2015.1070777
Subject
  • Other Kim-Ramakrishnan-Shahidi lif
  • Other symmetric 6-th L function
  • Other congruence
  • NDC 410
Description
Other
  • For a primitive form f of weight k for SL2(Z), let KS(f) be the Kim-Ramakrishnan-Shahidi (K-R-S) lift of f to the space of cusp forms of weight det(k+1)circle times Sym(k-2) for Sp(2)(Z). Based on some working hypothesis, we propose a conjecture, which relates the ratio KS(f), KS(f)/< f, f >(3) of the periods (Petersson norms) to the symmetric 6th L-value L(3k - 2, f, Sym(6)) of f. From this, we also propose that a prime ideal dividing the (conjectural) algebraic part L(3k - 2, f, Sym(6)) of L(3k - 2, f, Sym(6)) gives a congruence between the K-R-S lift and non-K-R-S lift, and test this conjecture numerically.
PublisherTaylor & Francis
Date Created 2016-06-03 , Issued 2016
Languageeng
NIItypejournal article
VersiontypeAM
Identifier URI http://hdl.handle.net/10258/00008922
Relation
  • isIdenticalTo DOI https://doi.org/10.1080/10586458.2015.1070777
Journal
    • NCID AA10926641
    • ISSN 1058-6458
    • ISSN 1944-950X
    • Experimental Mathematics
    25(3), 332-346
File
Oaidate2020-02-10T09:11:23Z