An asymptotic series for an integral

DOI10.1007/s11139-019-00235-zzbMath1469.11322arXiv1802.09214OpenAlexW3033317809MaRDI QIDQ2024944

Michael E. Hoffman, Moti Levy, Markus Kuba, Guy Louchard

Publication date: 4 May 2021

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

Full work available at URL: https://arxiv.org/abs/1802.09214

zbMATH Keywords

asymptotic expansionmultiple zeta valuesalternating multiple zeta valuesnorms of random variables

Mathematics Subject Classification ID

Combinatorial probability (60C05) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (4)

Logarithmic integrals, zeta values, and tiered binomial coefficients ⋮ On a parametric \(K\)-fold series and its connection to Nielsen-Kölbig relations ⋮ A weighted sum formula for alternating multiple zeta-star values ⋮ A note on harmonic number identities, Stirling series and multiple zeta values

Uses Software

• DLMF

Cites Work

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• A new class of identities involving Cauchy numbers, harmonic numbers and zeta values
• The multiple zeta value data mine
• On Stirling numbers and Euler sums
• Multiple harmonic series
• Evaluations of \(k\)-fold Euler/Zagier sums: a compendium of results for arbitrary \(k\)
• Nielsen’s Generalized Polylogarithms
• Multiple zeta values, poly-Bernoulli numbers, and related zeta functions
• Generalized Bernoulli numbers and a formula of Lucas
• Derivative Polynomials for Tangent and Secant
• On functions of Arakawa and Kaneko and multiple zeta values
• The Arakawa-Kaneko zeta function

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