Duality and (\(q\)-)multiple zeta values

DOI10.1016/j.aim.2016.04.015zbMath1355.11087arXiv1512.00753OpenAlexW2186715275MaRDI QIDQ291757

Kurusch Ebrahimi-Fard, Dominique Manchon, Johannes Maria Singer

Publication date: 10 June 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.00753

zbMATH Keywords

\(q\)-analoguesHopf algebramultiple zeta valuesderivation relationsduality double shuffle relationsHoffman-Ohno relation

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Hopf algebras and their applications (16T05) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (7)

Proving dualities for \(q\)MZVs with connected sums ⋮ Weak stuffle algebras ⋮ Balanced multiple q-zeta values ⋮ Multiple Eisenstein Series and q-Analogues of Multiple Zeta Values ⋮ A Dimension Conjecture for q-Analogues of Multiple Zeta Values ⋮ q-Analogues of Multiple Zeta Values and Their Application in Renormalization ⋮ Multiple zeta values and Euler sums

Cites Work

• On Bradley's \(q\)-MZVs and a generalized Euler decomposition formula
• Quasi-shuffle products revisited
• Cyclic \(q\)-MZSV sum
• Multiple zeta values vs. multiple zeta-star values
• Multiple \(q\)-zeta functions and multiple \(q\)-polylogarithms
• The algebra of multiple harmonic series
• On \(q\)-analogues of multiple zeta values
• Multiple \(q\)-zeta values
• Relations of multiple zeta values and their algebraic expression.
• Multiple \(q\)-zeta brackets
• On Euler's decomposition formula for \(q\)MZVs
• The algebra of a \(q\)-analogue of multiple harmonic series
• On the structure of cofree Hopf algebras
• Algebraic setup of non-strict multiple zeta values
• A VARIATION OF EULER′S APPROACH TO VALUES OF THE RIEMANN ZETA FUNCTION
• Algebraic relations for multiple zeta values
• Algebraic Aspects of Multiple Zeta Values
• Multiple Zeta Values and Modular Forms in Quantum Field Theory
• UNFOLDING THE DOUBLE SHUFFLE STRUCTURE OF -MULTIPLE ZETA VALUES
• Derivation and double shuffle relations for multiple zeta values
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Duality and (\(q\)-)multiple zeta values