An average of special values of Dirichlet series of Rankin-Selberg type

DOI10.1007/s11139-019-00166-9zbMath1465.11129OpenAlexW2969750258MaRDI QIDQ780436

Kohta Gejima

Publication date: 15 July 2020

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

Full work available at URL: https://doi.org/10.1007/s11139-019-00166-9

zbMATH Keywords

special valuesnearly holomorphic modular formsRankin-Selberg \(L\)-series

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Fourier coefficients of automorphic forms (11F30)

Cites Work

• Unnamed Item
• Combinatorics of Maass-Shimura operators
• A computation of modular forms of weight one and small level
• Modular Forms: Basics and Beyond
• Elementary Dirichlet Series and Modular Forms
• The special values of the zeta functions associated with cusp forms
• Computing Weight One Modular Forms over $\mathbb{C}$ and $\overline{\mathbb{F}}_{p}$