Linear recurrent sequences and irrationality measures

DOI10.1016/S0022-314X(05)80030-7zbMath0731.11041OpenAlexW2052793242MaRDI QIDQ807666

Laurent Habsieger

Publication date: 1991

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-314x(05)80030-7

zbMATH Keywords

Padé approximationsGegenbauer polynomialsirrationalityGegenbauer polynomial

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Transcendence theory of other special functions (11J91) Irrationality; linear independence over a field (11J72)

Cites Work

• A proof that Euler missed. Apéry's proof of the irrationality of \(\zeta(3)\). An informal report
• Irrationalité de certaines intégrales hypergéométriques. (Irrationality of certain hypergeometric integrals)
• A Note on the Irrationality of ζ(2) and ζ(3)
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