Periods of mirrors and multiple zeta values

DOI10.1090/S0002-9939-01-06263-3zbMath0994.32020arXivmath/9908065OpenAlexW1647372325MaRDI QIDQ2781242

Michael E. Hoffman

Publication date: 19 March 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9908065

zbMATH Keywords

gamma functionmirror symmetrymultiple zeta values

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calabi-Yau theory (complex-analytic aspects) (32Q25) Other Dirichlet series and zeta functions (11M41)

Related Items (8)

Relations of multiple zeta values and their algebraic expression. ⋮ On restricted sum formulas for multiple zeta values with even arguments ⋮ Weighted sum formula for multiple zeta values ⋮ Signed $q$-analogs of Tornheim's double series ⋮ Conical zeta values and their double subdivision relations ⋮ Transformation of generalized multiple Riemann zeta type sums with repeated arguments ⋮ Algebraic Aspects of Multiple Zeta Values ⋮ Perturbative corrections to Kähler moduli spaces

Cites Work

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• Multiple harmonic series
• Kontsevich's integral for the Homfly polynomial and relations between values of multiple zeta functions
• The algebra of multiple harmonic series
• Chern classes and the periods of mirrors
• Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops

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