scientific article

zbMath0304.14014MaRDI QIDQ4059609

Bernard M. Dwork

Publication date: 1974

Full work available at URL: http://www.numdam.org/item?id=MSMF_1974__39-40__27_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Differential equations in abstract spaces (34G99)

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Differential equations and Lie group representations ⋮ Une introduction naïve aux cohomologies de Dwork ⋮ Monodromie unipotente maximale, congruences “à la Lucas” et indépendance algébrique ⋮ On $p$ - adic differential equations IV generalized hypergeometric functions as $p$ - adic analytic functions in one variable ⋮ Differential modules and singular points of p-adic differential equations ⋮ Systèmes différentiels linéaires $p$-adiques, structure de Frobenius faible ⋮ ${\cal D}$-modules arithmétiques. II: Descente par Frobenius ⋮ Algébricité modulo $p$, séries hypergéométriques et structures de Frobenius fortes

Cites Work

• On p-adic differential equations. II: The p-adic asymptotic behavior of solutions of ordinary linear differential equations with rational function coefficients
• On p-adic differential equations. III: On p-adically bounded solutions of ordinary linear differential equations with rational function coefficients
• \(p\)-adic cycles
• On the zeta function of a hypersurface. I
• Convergent solutions of ordinary linear homogeneous differential equations in the neighborhood of an irregular singular point
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