On Dwork’s 𝑝-adic formal congruences theorem and hypergeometric mirror maps

DOI10.1090/memo/1163zbMath1382.11085arXiv1309.5902OpenAlexW2962737105MaRDI QIDQ5281596

Julien Roques, Tanguy Rivoal, Éric Delaygue

Publication date: 26 July 2017

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

Full work available at URL: https://arxiv.org/abs/1309.5902

zbMATH Keywords

generalized hypergeometric seriesEisenstein constantmirror mapsPochhammer symbolsN-integrality

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)

Related Items (10)

On the integrality of factorial ratios and mirror maps ⋮ Densities of bounded primes for hypergeometric series with rational parameters ⋮ Arithmetic properties of Apéry-like numbers ⋮ Algebraic independence for values of integral curves ⋮ ON THE DENOMINATORS OF THE TAYLOR COEFFICIENTS OF <i>G</i>-FUNCTIONS ⋮ Arithmetic properties of hypergeometric mirror maps and Dwork's congruences ⋮ On unbounded denominators and hypergeometric series ⋮ Hadamard products of algebraic functions ⋮ On integrality properties of hypergeometric series ⋮ On the integrality of hypergeometric series whose coefficients are factorial ratios

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