An application of Jacobi type polynomials to irrationality measures

DOI10.1017/S0004972700013691zbMath0821.11037OpenAlexW2146181406MaRDI QIDQ4324075

Tapani Matala-aho, Ari Heimonen, Keijo Väänänen

Publication date: 26 February 1995

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700013691

zbMATH Keywords

rational functionsirrationality measuresJacobi type polynomialsvalues of binomial functions

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Approximation in non-Archimedean valuations (11J61)

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Cites Work

• On distinguishing prime numbers from composite numbers
• On the method of Thue-Siegel
• On irrationality measures on the values of Gauss hypergeometric function
• Irrationalité de certaines intégrales hypergéométriques. (Irrationality of certain hypergeometric integrals)
• Effective Irrationality Measures for Certain Algebraic Numbers
• On the Arithmetic Nature of Definite Integrals of Rational Functions
• RATIONAL APPROXIMATIONS TO 23 AND OTHER ALGEBRAIC NUMBERS