A generalization of Siegel's method

DOI10.1007/S11139-009-9167-ZzbMath1226.11058OpenAlexW2087755107MaRDI QIDQ1037568

Sarachai Kongsiriwong

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/s11139-009-9167-z

zbMATH Keywords

Dedekind-eta function transformation

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Dedekind eta function, Dedekind sums (11F20) Higher logarithm functions (33B30)

Related Items (4)

Ramanujan’s Formula for ζ(2n + 1) ⋮ A new proof of the transformation law of Jacobi’s theta function $\theta _3(w,\tau )$ ⋮ A generalization of Siegel's method ⋮ Dirichlet series under standard convolutions: variations on Ramanujan's identity for odd zeta values

Cites Work

• A generalization of Siegel's method
• Modular transformations and generalizations of several formulae of Ramanujan
• Series acceleration formulas for Dirichlet series with periodic coefficients
• On the Lerch zeta function
• Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan.
• Comments on some formulae of Ramanujan
• A simple proof of η(— 1/τ)= η(τ)√τ/i
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