Integrals of logarithmic functions and alternating multiple zeta values
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Publication:5228776
DOI10.1515/ms-2017-0227zbMath1505.11011arXiv1701.00385OpenAlexW2963150889WikidataQ128181966 ScholiaQ128181966MaRDI QIDQ5228776
Publication date: 12 August 2019
Published in: Mathematica Slovaca (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.00385
Gamma, beta and polygamma functions (33B15) Congruences; primitive roots; residue systems (11A07) Multiple Dirichlet series and zeta functions and multizeta values (11M32)
Related Items (11)
On a result of Koecher concerning Markov–Apéry-type formulas for the Riemann zeta function ⋮ Sum relations from shuffle products of alternating multiple zeta values ⋮ Explicit evaluations of log-log integrals ⋮ Some results on multiple polylogarithm functions and alternating multiple zeta values ⋮ On three general forms of multiple zeta(-star) values ⋮ On a parametric \(K\)-fold series and its connection to Nielsen-Kölbig relations ⋮ Identities for the multiple zeta (star) values ⋮ A weighted sum formula for alternating multiple zeta-star values ⋮ Explicit formulas of some mixed Euler sums via alternating multiple zeta values ⋮ On the convolutions of sums of multiple zeta(-star) values of height one ⋮ Weighted sum formulas from shuffle products of multiple zeta-star values
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