Multivariate $p$-adic formal congruences and integrality of Taylor coefficients of mirror maps

zbMath1308.11099arXiv0804.3049MaRDI QIDQ4981668

Tanguy Rivoal, Christian Krattenthaler

Publication date: 24 June 2014

Full work available at URL: https://arxiv.org/abs/0804.3049

zbMATH Keywords

Calabi-Yau manifoldsharmonic numbers\(p\)-adic analysishypergeometric differential equationsDwork's theory in several variablesintegrality of mirror maps

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Other hypergeometric functions and integrals in several variables (33C70) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Diophantine approximation, transcendental number theory (11J99)

Related Items (3)

On Dwork’s 𝑝-adic formal congruences theorem and hypergeometric mirror maps ⋮ A criterion for the integrality of the Taylor coefficients of mirror maps in several variables ⋮ Integrality theorems in the theory of topological strings

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