ON THE SPINOR L-FUNCTION OF MIYAWAKI–IKEDA LIFTS

DOI10.1142/S1793042113500930zbMath1286.11074arXiv1305.1076OpenAlexW2116080419MaRDI QIDQ5408806

Shuichi Hayashida

Publication date: 11 April 2014

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.1076

zbMATH Keywords

Siegel modular formMaass relationspinor \(L\)-functionsymmetric power \(L\)-functionMiyawaki-Ikeda lift

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (1)

Using Katsurada’s determination of the Eisenstein series to compute Siegel eigenforms

Cites Work

• Fourier-Jacobi expansion and the Ikeda lift
• Pullback of the lifting of elliptic cusp forms and Miyawaki's conjecture
• Jacobi forms of higher degree
• Relations between symmetric power \(L\)-functions and spinor \(L\)-functions attached to Ikeda lifts
• Miyawaki's \(F_{12}\) spinor \(L\)-function conjecture
• On the lifting of elliptic cusp forms to Siegel cusp forms of degree \(2n\)

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