Bertrand, Daniel Equations différentielles algébriques et nombres transcendants dans les domaines complexe et p-adique. (French) Zbl 0391.10026 Paris: Universite de Paris VI. V, 46 p. (1975). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 11J81 Transcendence (general theory) 12H20 Abstract differential equations 11S80 Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.) 11J85 Algebraic independence; Gel’fond’s method 11J61 Approximation in non-Archimedean valuations 12H25 \(p\)-adic differential equations Keywords:Algebraic Differential Equations; P-Adic Field; Meromorphic Function; Arithmetic Properties; Complex Multiplication; Transcendental Numbers; E Function; Algebraic Independence; Complex Field Citations:Zbl 0358.10016 PDFBibTeX XML