Special values of Hecke \(L\)-functions of modular forms of half-integral weight and cohomology

DOI10.1007/s40687-018-0143-3zbMath1440.11073OpenAlexW2799571734MaRDI QIDQ2319753

Winfried Kohnen, Wissam Raji

Publication date: 20 August 2019

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40687-018-0143-3

zbMATH Keywords

half-integral weightcritical stripHecke \(L\)-functions

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Hecke-Petersson operators, differential operators (one variable) (11F25)

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Ramanujan identities of higher degree

Cites Work

• Half-integral weight Eichler integrals and quantum modular forms
• A canonical subspace of modular forms of half-integral weight
• Congruence subgroups of Hecke groups
• Sums involving the values at negative integers of \(L\)-functions of quadratic characters
• Hecke operators on rational period functions on the Hecke groups
• Modular forms and quantum invariants of \(3\)-manifolds
• On modular forms of half integral weight
• Mock modular forms and quantum modular forms
• Some new results on the Eichler cohomology of automorphic forms
• Holomorphic Automorphic Forms and Cohomology
• Eichler cohomology theorem for automorphic forms of small weights
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