A matrix version of Dwork's congruences

DOI10.1007/978-3-030-84304-5_2zbMath1499.11355arXiv2005.01523OpenAlexW3212127163MaRDI QIDQ2097067

Frits Beukers

Publication date: 11 November 2022

Full work available at URL: https://arxiv.org/abs/2005.01523

zbMATH Keywords

hypergeometric functions\(p\)-adic cycles

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Special functions in characteristic (p) (gamma functions, etc.) (33E50)

Cites Work

• \(p\)-adic cycles
• Dwork’s congruences for the constant terms of powers of a Laurent polynomial
• Internal reconstruction of unit-root $F$-crystals via expansion-coefficients. With an appendix by Luc Illusie
• Dwork Crystals II

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