A continuous version of multiple zeta functions and multiple zeta values

DOI10.5802/CRMATH.440OpenAlexW4322767456MaRDI QIDQ2687980

Yanyan Li

Publication date: 7 March 2023

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.15062

zbMATH Keywords

shuffle productsum formulamultiple zeta function

Mathematics Subject Classification ID

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

Cites Work

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• Hyperbolic manifolds and special values of Dedekind zeta-functions
• The dihedral Lie algebras and Galois symmetries of \(\pi_1^{(l)}(\mathbb P^1-(\{0,\infty\}\cup\mu-\{N\}))\).
• Geometry of configurations, polylogarithms, and motivic cohomology
• Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops
• Iterated path integrals
• Analytic continuation of multiple zeta functions
• Multiple zeta-star values and multiple integrals
• Derivation and double shuffle relations for multiple zeta values

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