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Congruences of alternating multiple harmonic sums

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Publication:2905217
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zbMath1245.11008arXiv0909.0670MaRDI QIDQ2905217

Roberto Tauraso, Jianqiang Zhao

Publication date: 26 August 2012

Full work available at URL: https://arxiv.org/abs/0909.0670



Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Congruences; primitive roots; residue systems (11A07) Sequences (mod (m)) (11B50)


Related Items

On functional equations of finite multiple polylogarithms ⋮ Some conjectural supercongruences related to Bernoulli and Euler numbers ⋮ A note on the congruences with sums of powers of binomial coefficients ⋮ Finite and symmetrized colored multiple zeta values ⋮ On three conjectural congruences of Z.-H. Sun involving Apéry and Apéry-like numbers ⋮ Mod \(p\) structure of alternating and non-alternating multiple harmonic sums ⋮ Two triple binomial sum supercongruences ⋮ Congruences arising from Apéry-type series for zeta values ⋮ New properties of multiple harmonic sums modulo 𝑝 and 𝑝-analogues of Leshchiner’s series ⋮ Congruences for central binomial sums and finite polylogarithms ⋮ On some congruences involving Domb numbers and harmonic numbers ⋮ Two congruences concerning Apéry numbers conjectured by Z.-W. Sun



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