Rankin's method in the case of level 4q and its application to the Doi- Naganuma lifting

DOI10.2748/TMJ/1178229839zbMath0414.10018OpenAlexW2029408686MaRDI QIDQ599086

Hisashi Kojima

Publication date: 1979

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229839

zbMATH Keywords

Doi-Naganuma liftingFourier coefficients of modular form at cuspsMaass theta functionRankin method

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Holomorphic modular forms of integral weight (11F11) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (4)

Estimates of Petersson's inner squares of cusp forms and arithmetic applications ⋮ On multiplicativity of Fourier coefficients at cusps other than infinity ⋮ An arithmetic of Hermitian modular forms of degree two ⋮ Fourier expansions of \(\mathrm{GL}(2)\) newforms at various cusps

Cites Work

• Unnamed Item
• Modular forms associated to real quadratic fields
• On the Fourier coefficients of automorphic forms at various cusps and some applications to Rankin's convolution
• Hecke operators on \(\Gamma_0(m)\)
• On the functional equation of certain Dirichlet series
• On the coincidence of two Dirichlet series associated to cusp forms of Hecke's Neben-type and Hilbert modular forms over a real quadratic field
• On modular forms of half integral weight
• Über eine neue Art von nichtanalytischen automorphen Funktionen und die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen. (On a new type of nonanalytic automorphic functions and the determination of Dirichlet series by functional equations)

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