A class of transcendental numbers having explicit g-adic and Jacobi-Perron expansions of arbitrary dimension

DOI10.4064/aa-71-4-301-329zbMath0828.11036OpenAlexW895882917MaRDI QIDQ4839702

Jun-ichi Tamura

Publication date: 17 July 1995

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/206777

zbMATH Keywords

transcendencerational approximationJacobi-Perron algorithm\(g\)-adic expansion

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Transcendence (general theory) (11J81) Continued fractions; complex-analytic aspects (30B70) Irrationality; linear independence over a field (11J72) Series expansions of functions of one complex variable (30B99)

Related Items (6)

Certain sequences making a partition of the set of positive integers ⋮ Algebraic independence of the values of Mahler functions associated with a certain continued fraction expansion ⋮ Transcendence of numbers with a low complexity expansion ⋮ Combinatorial structure of Sturmian words and continued fraction expansion of Sturmian numbers ⋮ Diophantine approximations and Sturmian numbers ⋮ A new multidimensional continued fraction algorithm

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