A new \(p\)-adic method for proving irrationality and transcendence results

DOI10.2307/1971488zbMath0679.10025OpenAlexW2315804994MaRDI QIDQ1124627

Philippe Robba, Jean-Paul Bézivin

Publication date: 1989

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1971488

zbMATH Keywords

\(p\)-adic criterion for rationalityLindemann-Weierstraß TheoremTaylor series with rational coefficients

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Transcendence (general theory) (11J81) Irrationality; linear independence over a field (11J72) Abstract differential equations (12H20)

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An effective version of the Lindemann-Weierstrass theorem using algebraic independence methods

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