Ikeda's conjecture on the period of the Duke–Imamoḡlu–Ikeda lift

DOI10.1112/plms/pdv011zbMath1376.11038arXiv1008.4195OpenAlexW2149959251WikidataQ122930194 ScholiaQ122930194MaRDI QIDQ2942796

Hisa-Aki Kawamura, Hidenori Katsurada

Publication date: 11 September 2015

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.4195

zbMATH Keywords

\(L\)-functionsKohnen plus spaceHecke eigenformsDuke-Imamoḡlu-Ikeda lift

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items

An explicit formula for the Siegel series of a quadratic form over a non-Archimedean local field ⋮ A symplectic restriction problem ⋮ Period of the adelic Ikeda lift for \(U(m,m)\) ⋮ Period of the Ikeda type lift for the exceptional group of type \(E_{7,3}\) ⋮ On the size of Ikeda lifts ⋮ Congruences for Hecke eigenvalues of Siegel modular forms ⋮ Congruences to Ikeda-Miyawaki lifts and triple \(L\)-values of elliptic modular forms ⋮ RANKIN-SELBERG METHOD FOR JACOBI FORMS OF INTEGRAL WEIGHT AND OF HALF-INTEGRAL WEIGHT ON SYMPLECTIC GROUPS ⋮ On the period of the Ikeda lift for \(U(m,m)\) ⋮ A CERTAIN DIRICHLET SERIES OF RANKIN–SELBERG TYPE ASSOCIATED WITH THE IKEDA LIFT OF HALF‐INTEGRAL WEIGHT ⋮ On the Petersson norm of the Hilbert-Siegel cusp form under the Ikeda lift

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