Sum relations of multiple zeta star values with even arguments
From MaRDI portal
Publication:1674179
DOI10.1007/s00009-017-0911-0zbMath1429.11162OpenAlexW2604413445MaRDI QIDQ1674179
Chan-Liang Chung, Kwang-Wu Chen
Publication date: 1 November 2017
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-017-0911-0
Riemann zeta functiongenerating functionssum formulamultiple zeta valuealternating multiple zeta valuesinfinite series and products
Bernoulli and Euler numbers and polynomials (11B68) (zeta (s)) and (L(s, chi)) (11M06) Multiple Dirichlet series and zeta functions and multizeta values (11M32)
Related Items (8)
Infinite products involving Dirichlet characters and cyclotomic polynomials ⋮ Sum relations from shuffle products of alternating multiple zeta values ⋮ Extension of Hoffman's combinatorial identity via specific zeta-like series ⋮ Generalized harmonic number sums and quasisymmetric functions ⋮ Multiple zeta functions and polylogarithms over global function fields ⋮ A weighted sum formula for alternating multiple zeta-star values ⋮ On some weighted sum formulas involving general multiple zeta-type series ⋮ Multiple zeta star values on 3-2-1 indices
Cites Work
- Sum formulas of multiple zeta values with arguments multiples of a common positive integer
- Some identities for multiple zeta values
- On some explicit evaluations of multiple zeta-star values
- A short proof for the sum formula and its generalization
- A restricted sum formula among multiple zeta values
- Evaluations of \(k\)-fold Euler/Zagier sums: a compendium of results for arbitrary \(k\)
- Restricted sum formula of alternating Euler sums
- On restricted sum formulas for multiple zeta values with even arguments
- The Theory of Multiple Zeta Values with Applications in Combinatorics
- On multiple zeta values of even arguments
- Unnamed Item
- Unnamed Item
This page was built for publication: Sum relations of multiple zeta star values with even arguments
