ON SOME SERIES IDENTITIES

DOI10.5831/HMJ.2016.38.3.479zbMath1359.11077MaRDI QIDQ2836189

Sung-Geun Lim

Publication date: 7 December 2016

Published in: Honam Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

non-analytic Eisenstein seriesmodular transformationinfinite series identities

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other Dirichlet series and zeta functions (11M41) Classical hypergeometric functions, ({}_2F_1) (33C05)

Cites Work

• Unnamed Item
• Modular transformations and generalizations of several formulae of Ramanujan
• Generalized Eisenstein series and modified Dedekind sums.
• Barnes multiple zeta-functions, Ramanujan's formula, and relevant series involving hyperbolic functions
• Infinite series identities from modular transformation formulas that stem from generalized Eisenstein series

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