A dominated convergence theorem for Eisenstein series

DOI10.1007/s40316-021-00157-7zbMath1484.11110OpenAlexW3137351900MaRDI QIDQ2231549

Johann Franke

Publication date: 30 September 2021

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40316-021-00157-7

zbMATH Keywords

Mellin transformEisenstein series\(L\)-functionspartial summation

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Holomorphic modular forms of integral weight (11F11)

Related Items (1)

Rational functions, cotangent sums and Eichler integrals

Cites Work

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• A correspondence of modular forms and applications to values of \(L\)-series
• Products of Eisenstein series and Fourier expansions of modular forms at cusps
• All modular forms of weight 2 can be expressed by Eisenstein series
• Representations of integers as sums of an even number of squares
• Rational functions and modular forms
• Number Theory

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