Generalized hypergeometric arithmetic 𝒟-modules under a 𝓅-adic non-Liouvilleness condition

DOI10.1090/proc/15814OpenAlexW4282914485MaRDI QIDQ5097309

Kazuaki Miyatani

Publication date: 23 August 2022

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

Full work available at URL: https://arxiv.org/abs/1901.03488

zbMATH Keywords

overholonomicity\(\mathcal D\)-moduleshypergeometric differential operatorsnon-Liouvilleness

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Local ground fields in algebraic geometry (14G20) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10)

Cites Work

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• $p$-adic generalized hypergeometric equations from the viewpoint of arithmetic $\scr{D}$-modules}$
• Fonctions L associées aux $\mathcal{D}$-modules arithmétiques. Cas des courbes
• Exponential Sums and Differential Equations. (AM-124)
• ${\scr D}$-modules arithmétiques. I. Opérateurs différentiels de niveau fini

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