Special values of symmetric hypergeometric functions
DOI10.1090/S0002-9947-96-01676-5zbMath0870.11074OpenAlexW1491133320MaRDI QIDQ4890006
Publication date: 11 September 1997
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-96-01676-5
Young formulahypergeometric equations\(p\)-adic Gamma functionshypergeometric \(F\)-crystalspecial values of symmetric hypergeometric functionsunit root \(F\)-subcrystal
Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Applications of hypergeometric functions (33C90) (p)-adic cohomology, crystalline cohomology (14F30) (p)-adic differential equations (12H25)
Cites Work
- A trace formula for F-crystals
- Hypergeometric series with a p-adic variable
- Apéry numbers, Jacobi sums, and special values of generalized \(p\)-adic hypergeometric functions
- On p-adic differential equations. III: On p-adically bounded solutions of ordinary linear differential equations with rational function coefficients
- Gauss sums and the p-adic \(\Gamma\)-function
- \(p\)-adic cycles
- On Kummer's Twenty-Four Solutions of the Hypergeometric Differential Equation
- On the Boyarsky Principle
- Une introduction naïve aux cohomologies de Dwork
- p-Adic Gamma Functions and Dwork Cohomology
- On Ordinary Linear p-Adic Differential Equations
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