Explicit relations between multiple zeta values and related variants
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Publication:2048387
DOI10.1016/j.aam.2021.102245zbMath1484.11181arXiv2012.02588OpenAlexW3168118387MaRDI QIDQ2048387
Publication date: 5 August 2021
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.02588
multiple polylogarithmsmultiple harmonic sumsiterated integrationalternating multiple zeta star valuesKaneko-Yamamoto type multiple zeta valuesmultiple harmonic star sums
Congruences; primitive roots; residue systems (11A07) Multiple Dirichlet series and zeta functions and multizeta values (11M32)
Related Items (4)
Global series for height 1 multiple zeta functions ⋮ Apéry-type series and colored multiple zeta values ⋮ Harmonic-binomial Euler-like sums via expansions of \((\arcsin x)^p\) ⋮ Evaluations of some Euler-Apéry-type series
Uses Software
Cites Work
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- Mixed Tate motives over \(\mathbb{Z}\)
- Evaluation of the multiple zeta values \(\zeta(2,\ldots,2,3,2,\ldots,2)\)
- Multiple zeta values and Euler sums
- Arakawa-Kaneko \(L\)-functions and generalized poly-Bernoulli polynomials
- Symmetries of Bernoulli polynomial series and Arakawa-Kaneko zeta functions
- Zeta stars
- Multiple harmonic series
- The algebra of multiple harmonic series
- A new integral-series identity of multiple zeta values and regularizations
- Zeta functions connecting multiple zeta values and poly-Bernoulli numbers
- Alternating multiple zeta values, and explicit formulas of some Euler-Apéry-type series
- Inverse binomial series and values of Arakawa-Kaneko zeta functions
- The \(p\)-adic Arakawa-Kaneko zeta functions and \(p\)-adic Lerch transcendent
- Multiple Zeta Functions, Multiple Polylogarithms and Their Special Values
- MULTI-POLY-BERNOULLI NUMBERS AND RELATED ZETA FUNCTIONS
- Cyclic sum of multiple zeta values
- Interesting Series Involving the Central Binomial Coefficient
- Multiple zeta values, poly-Bernoulli numbers, and related zeta functions
- Generalized Arakawa-Kaneko zeta functions
- On analogues of Arakawa-Kaneko zeta functions of Mordell-Tornheim type
- On functions of Arakawa and Kaneko and multiple zeta values
- New properties of multiple harmonic sums modulo 𝑝 and 𝑝-analogues of Leshchiner’s series
- The Arakawa-Kaneko zeta function
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