On a conjecture of Borwein, Bradley and Broadhurst

DOI10.1515/CRELLE.2010.016zbMath1236.11078WikidataQ123143522 ScholiaQ123143522MaRDI QIDQ5306050

Jianqiang Zhao

Publication date: 26 March 2010

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

zbMATH Keywords

multiple zeta valuesdouble shuffle relationalternating Euler sums

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (11)

Bachmann-Kühn's brackets and multiple zeta values at level \(N\) ⋮ Some results on multiple polylogarithm functions and alternating multiple zeta values ⋮ On a Family of Polynomials Related to $$\zeta (2,1)=\zeta (3)$$ ⋮ ALTERNATING EULER SUMS AND SPECIAL VALUES OF THE WITTEN MULTIPLE ZETA FUNCTION ATTACHED TO ⋮ Quasi-shuffle products revisited ⋮ Multiple zeta values and Euler sums ⋮ Explicit formulas of some mixed Euler sums via alternating multiple zeta values ⋮ Restricted sum formula of alternating Euler sums ⋮ Explicit formulas of sums involving harmonic numbers and Stirling numbers ⋮ Linear differential equations and multiple zeta-values. III. Zeta(3) ⋮ Variants of multiple zeta values with even and odd summation indices

Cites Work

• Parametric Euler sum identities
• Kontsevich's integral for the Homfly polynomial and relations between values of multiple zeta functions
• The algebra and combinatorics of shuffles and multiple zeta values
• Quasi-shuffle products
• Multiple $\zeta$-motives and moduli spaces $\overline{\mathcal{M}}_{0,n}$
• THIRTY-TWO GOLDBACH VARIATIONS
• Derivation and double shuffle relations for multiple zeta values
• Algebras of Iterated Path Integrals and Fundamental Groups

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