Balanced multiple q-zeta values

DOI10.1016/j.aim.2024.109487arXiv2303.09436OpenAlexW4390880532MaRDI QIDQ6201184

Annika Burmester

Publication date: 20 February 2024

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

Full work available at URL: https://arxiv.org/abs/2303.09436

zbMATH Keywords

multiple zeta valuesgenerating seriesquasi-shuffle Hopf algebrasbimouldsmultiple q-zeta values

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)

Cites Work

• Duality and (\(q\)-)multiple zeta values
• Quasi-shuffle products revisited
• Double shuffle relation for associators
• The algebra of bi-brackets and regularized multiple Eisenstein series
• 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
• Quasi-shuffle products
• Hilbert schemes and multiple \(q\)-zeta values
• Multiple \(q\)-zeta brackets
• The algebra of a \(q\)-analogue of multiple harmonic series
• ZETA ELEMENTS IN DEPTH 3 AND THE FUNDAMENTAL LIE ALGEBRA OF THE INFINITESIMAL TATE CURVE
• Multiple Eisenstein Series and q-Analogues of Multiple Zeta Values
• A Dimension Conjecture for q-Analogues of Multiple Zeta Values
• Uniform Approach to Double Shuffle and Duality Relations of Various q-Analogs of Multiple Zeta Values via Rota–Baxter Algebras
• Algebraic relations for multiple zeta values
• UNFOLDING THE DOUBLE SHUFFLE STRUCTURE OF -MULTIPLE ZETA VALUES
• Derivation and double shuffle relations for multiple zeta values
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