On a series of Ramanujan, dilogarithm values, and solitons

DOI10.2140/INVOLVE.2022.15.411OpenAlexW4312049173MaRDI QIDQ2109082

Steven Manns, Khristo N. Boyadzhiev

Publication date: 20 December 2022

Published in: Involve (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.11076

zbMATH Keywords

dilogarithmpolylogarithmRiemann zeta functionsolitonsgenerating functiontrilogarithmBernoulli polynomialharmonic number

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Higher logarithm functions (33B30)

Cites Work

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• Nonlinear Euler sums
• A note on harmonic numbers, umbral calculus and generating functions
• A formula of S. Ramanujan
• Numerical evaluation of the dilogarithm of complex argument
• Explicit evaluation of some quadratic Euler-type sums containing double-index harmonic numbers
• Another Way to Sum a Series: Generating Functions, Euler, and the Dilog Function
• The Dilogarithm Function
• A note on Bernoulli polynomials and solitons
• The Dilogarithm Function of a Real Argument

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