Some results on multiple polylogarithm functions and alternating multiple zeta values
From MaRDI portal
Publication:2187125
DOI10.1016/j.jnt.2020.04.012zbMath1468.11179OpenAlexW3027538441MaRDI QIDQ2187125
Publication date: 2 June 2020
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2020.04.012
multiple zeta valuesiterated integralsmultiple harmonic (star) sumsBorwein-Bradley-Broadhurst's conjecturesmultiple polylogarithm functions
Other Dirichlet series and zeta functions (11M41) Multiple Dirichlet series and zeta functions and multizeta values (11M32)
Related Items (3)
Explicit evaluation of some integrals involving polylogarithm functions ⋮ Duality of Weighted Sum Formulas of Alternating Multiple $T$-Values ⋮ Alternating multiple \(T\)-values: weighted sums, duality, and dimension conjecture
Cites Work
- Unnamed Item
- Evaluation of the multiple zeta values \(\zeta(2,\ldots,2,3,2,\ldots,2)\)
- Arakawa-Kaneko \(L\)-functions and generalized poly-Bernoulli polynomials
- Special values of generalized polylogarithms
- Symmetries of Bernoulli polynomial series and Arakawa-Kaneko zeta functions
- Multiple harmonic series
- Evaluations of \(k\)-fold Euler/Zagier sums: a compendium of results for arbitrary \(k\)
- On Schur multiple zeta functions: a combinatoric generalization of multiple zeta functions
- A new integral-series identity of multiple zeta values and regularizations
- Identities for the multiple zeta (star) values
- Inverse binomial series and values of Arakawa-Kaneko zeta functions
- Evaluations of Euler-type sums of weight \(\le 5\)
- The \(p\)-adic Arakawa-Kaneko zeta functions and \(p\)-adic Lerch transcendent
- Iterated integrals on \(\mathbb{P}^1 \setminus \{0, 1, \infty, z \}\) and a class of relations among multiple zeta values
- MULTI-POLY-BERNOULLI NUMBERS AND RELATED ZETA FUNCTIONS
- Multiple zeta values, poly-Bernoulli numbers, and related zeta functions
- Special values of multiple polylogarithms
- Explicit formulas of sums involving harmonic numbers and Stirling numbers
- On analogues of Arakawa-Kaneko zeta functions of Mordell-Tornheim type
- Integrals of logarithmic functions and alternating multiple zeta values
- On a conjecture of Borwein, Bradley and Broadhurst
- 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
This page was built for publication: Some results on multiple polylogarithm functions and alternating multiple zeta values