Explicit formulas of some mixed Euler sums via alternating multiple zeta values

DOI10.1007/s40840-020-00896-wzbMath1443.11184OpenAlexW3003246566MaRDI QIDQ2006699

Publication date: 12 October 2020

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-020-00896-w

zbMATH Keywords

Euler sums multiple zeta (star) values alternating multiple harmonic (star) sums alternating multiple zeta (star) values multiple harmonic (star) sums

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Other functions defined by series and integrals (33E20) Multiple sequences and series (40B05) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (1)

On evaluations of Euler-type sums of hyperharmonic numbers

Cites Work

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Identities among restricted sums of multiple zeta values
Another expression of the restricted sum formula of multiple zeta values
Evaluation of the multiple zeta values \(\zeta(2,\ldots,2,3,2,\ldots,2)\)
Sum formulas and duality theorems of multiple zeta values
Identity families of multiple harmonic sums and multiple zeta star values
Multiple zeta values and Euler sums
The multiple zeta value data mine
A restricted sum formula among multiple zeta values
Multiple harmonic series
A generalization of the duality and sum formulas on the multiple zeta values
The algebra and combinatorics of shuffles and multiple zeta values
Lyndon words and shuffle algebras for generating the coloured multiple zeta values relations tables
On harmonic numbers and nonlinear Euler sums
Euler sums and Stirling sums
Identities for the multiple zeta (star) values
Explicit formulas of Euler sums via multiple zeta values
Another proof of Zagier's evaluation formula of the multiple zeta values \(\zeta (2, \dots , 2, 3, 2, \dots , 2)\)
Explicit evaluation of quadratic Euler sums
ON A KIND OF DUALITY OF MULTIPLE ZETA-STAR VALUES
ON THE DUALITY FOR MULTIPLE ZETA-STAR VALUES OF HEIGHT ONE
Euler Sums and Contour Integral Representations
Experimental Evaluation of Euler Sums
Resolution of Some Open Problems Concerning Multiple Zeta Evaluations of Arbitrary Depth
Special values of multiple polylogarithms
Explicit evaluation of Euler sums
Integrals of logarithmic functions and alternating multiple zeta values
On a conjecture of Borwein, Bradley and Broadhurst
New properties of multiple harmonic sums modulo 𝑝 and 𝑝-analogues of Leshchiner’s series

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