MULTIPLE HARMONIC SUMS AND WOLSTENHOLME'S THEOREM

DOI10.1142/S1793042113500735zbMath1335.11013arXiv1302.0073OpenAlexW2079334320MaRDI QIDQ2870230

Julian Rosen

Publication date: 17 January 2014

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.0073

zbMATH Keywords

binomial coefficientsmultiple harmonic sums

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07)

Related Items (3)

$p$-adic $L$-functions and classical congruences ⋮ Some congruences for generalized harmonic numbers and binomial coefficients with roots of unity ⋮ Asymptotic relations for truncated multiple zeta values

Cites Work

• Mod \(p\) structure of alternating and non-alternating multiple harmonic sums
• More congruences for central binomial coefficients
• \(p\)-adic \(L\)-functions and sums of powers
• On congruences involving Bernoulli numbers and the quotients of Fermat and Wilson
• WOLSTENHOLME TYPE THEOREM FOR MULTIPLE HARMONIC SUMS
• Unnamed Item

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