Rational decomposition of modular forms

DOI10.1007/S11139-011-9301-6zbMath1269.11042OpenAlexW1972409744MaRDI QIDQ409029

Alexandru A. Popa

Publication date: 12 April 2012

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-011-9301-6

zbMATH Keywords

Rankin-Cohen bracketsforms with rational periodsShimura correspondence

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (5)

Irreducibility of the zero polynomials of Eisenstein series ⋮ Eisenstein series identities based on partial fraction decomposition ⋮ Eichler-Shimura theory for mock modular forms ⋮ Lacunary recurrences for Eisenstein series ⋮ Hecke eigenform and double Eisenstein series

Cites Work

• Values of L-series of modular forms at the center of the critical strip
• Periods of modular forms and Jacobi theta functions
• A quick combinatorial proof of Eisenstein series identities
• On the Values at Integers of the Dedekind Zeta Function of a Real Quadratic Field
• PERIODS OF PARABOLIC FORMS AND $ p$-ADIC HECKE SERIES
• Factoring Hecke polynomials modulo a prime.
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