Generalized Eisenstein series and several modular transformation formulae

DOI10.1007/s11139-008-9146-9zbMath1259.11043OpenAlexW2024204411MaRDI QIDQ1037561

Sung-Geun Lim

Publication date: 16 November 2009

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

Full work available at URL: https://doi.org/10.1007/s11139-008-9146-9

Mathematics Subject Classification ID

Dedekind eta function, Dedekind sums (11F20) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

Related Items (5)

Ramanujan’s Formula for ζ(2n + 1) ⋮ On generalized Eisenstein series and Ramanujan's formula for periodic zeta-functions ⋮ Periodic analogues of Dedekind sums and transformation formulas of Eisenstein series ⋮ On Dirichlet \(L\)-functions with periodic coefficients and Eisenstein series ⋮ ANALYTIC CONTINUATION OF GENERALIZED NON-HOLOMORPHIC EISENSTEIN SERIES

Cites Work

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• TRANSFORMATION FORMULAS FOR GENERALIZED DEDEKIND ETA FUNCTIONS
• Some remarks on certain generalized Dedekind sums
• Partition congruences and the Andrews-Garvan-Dyson crank
• Construction and Application of a Class of Modular Functions (II)†
• Two New Proofs of Lerch's Functional Equation
• Generalized Dedekind Eta-Functions and Generalized Dedekind Sums

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