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11-XX Number theory
11Jxx Diophantine approximation, transcendental number theory
11J04 Homogeneous approximation to one number

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Displaying 1 – 20 of 21

A Conjecture of Segre on Diophantine Approximation.

Jingcheng Tong (1991)

Monatshefte für Mathematik

A continued fraction proof of Ford's theorem on complex rational approximations.

Richard B. Lakein (1975)

Journal für die reine und angewandte Mathematik

A contribution to the linear homogeneous Diophantine approximations

Bohuslav Diviš, Břetislav Novák (1971)

Commentationes Mathematicae Universitatis Carolinae

A non-standard metric in the group of reals

A. Schinzel (1986)

Colloquium Mathematicae

A remark on the theory of Diophantine approximations

Bohuslav Diviš, Břetislav Novák (1971)

Commentationes Mathematicae Universitatis Carolinae

A Result from Diophantine Approximation which has Applications in Economics.

H.C. Cheng, A.D. Pollington (1981)

Manuscripta mathematica

A Symbolic Dynamics for Geodesics on Punctured Riemann Surfaces.

J. Lehner, M. Sheingorn (1984)

Mathematische Annalen

An approximation property of quadratic irrationals

Takao Komatsu (2002)

Bulletin de la Société Mathématique de France

Let $α > 1$ be irrational. Several authors studied the numbers $ℓ^{m} (α) = inf {| y | : y \in Λ_{m}, y \neq 0},$ where $m$ is a positive integer and $Λ_{m}$ denotes the set of all real numbers of the form $y = ϵ_{0} α^{n} + ϵ_{1} α^{n - 1} + \dots + ϵ_{n - 1} α + ϵ_{n}$ with restricted integer coefficients $| ϵ_{i} | \leq m$ . The value of $ℓ^{1} (α)$ was determined for many particular Pisot numbers and $ℓ^{m} (α)$ for the golden number. In this paper the value of $ℓ^{m} (α)$ is determined for irrational numbers $α$ , satisfying $α^{2} = a α \pm 1$ with a positive integer $a$ .

An elementary treatment of a general diophantine problem

Nigel Watt (1988)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Approximation by Nearest Integer Continued Fractions.

Jincheng Tong (1992)

Mathematica Scandinavica

Approximation by Nearest Integer Continued Fractions (II).

Jingcheng Tong (1994)

Mathematica Scandinavica

Approximation des nombres par certaines suites de rationnels

Maurice Mignotte (1976/1977)

Séminaire Delange-Pisot-Poitou. Théorie des nombres

Approximation d'un nombre réel par des nombres algébriques de degré donné

Yann Bugeaud, Olivier Teulié (2000)

Acta Arithmetica

Approximation of irrationals.

Baica, Malvina (1985)

International Journal of Mathematics and Mathematical Sciences

Approximation Properties of Some Complex Continued Fractions.

Richard B. Lakein (1973)

Monatshefte für Mathematik

Approximations diophantiennes asymptotiques.

Marc REVERSAT (1976/1977)

Seminaire de Théorie des Nombres de Bordeaux

Approximations diophantiennes linéaires homogènes

Gérard Rauzy (1961/1962)

Séminaire Delange-Pisot-Poitou. Théorie des nombres

Approximations rationnelles de $π$ et quelques autres nombres

Maurice Mignotte (1974)

Mémoires de la Société Mathématique de France

Approximations rationnelles des valeurs de la fonction Gamma aux rationnels : le cas des puissances

Tanguy Rivoal (2010)

Acta Arithmetica

Approximations rationnelles du nombre π

Maurice Mignotte (1972/1973)

Séminaire Delange-Pisot-Poitou. Théorie des nombres

Currently displaying 1 – 20 of 21

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