Arithmetic properties of hypergeometric mirror maps and Dwork's congruences

DOI10.1007/978-3-030-04161-8_28zbMath1461.33004OpenAlexW2922414237MaRDI QIDQ2001239

Éric Delaygue

Publication date: 2 July 2019

Full work available at URL: https://doi.org/10.1007/978-3-030-04161-8_28

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20)

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Chudnovsky-Ramanujan type formulae for non-compact arithmetic triangle groups

Cites Work

• On the integrality of the Taylor coefficients of mirror maps
• On the integrality of power expansions related to hypergeometric series.
• A criterion for the integrality of the Taylor coefficients of mirror maps in several variables
• Critère pour l'intégralité des coefficients de Taylor des applications miroir
• Factorial ratios, hypergeometric series, and a family of step functions
• On $p$ - adic differential equations IV generalized hypergeometric functions as $p$ - adic analytic functions in one variable
• On Dwork’s 𝑝-adic formal congruences theorem and hypergeometric mirror maps
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