A function from Diophantine approximations.

Shiu, P.

Displaying similar documents to “A function from Diophantine approximations.”

On two problems of Erdös Szüsz and Turan concerning diophantine approximations

Harry Kesten, V. Sós (1966)

Acta Arithmetica

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Egyptian fractions with restrictions

Yong-Gao Chen, Christian Elsholtz, Li-Li Jiang (2012)

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On the diophantine equation x²+x+1 = yz

A. Schinzel (2015)

Colloquium Mathematicae

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All solutions of the equation x²+x+1 = yz in non-negative integers x,y,z are given in terms of an arithmetic continued fraction.

About some Diophantine equations with restrictions.

Acu, Dumitru (1999)

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Continued fractions, multidimensional diophantine approximations and applications

Nikolai G. Moshchevitin (1999)

Journal de théorie des nombres de Bordeaux

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This paper is a brief review of some general Diophantine results, best approximations and their applications to the theory of uniform distribution.

Arithmetic diophantine approximation for continued fractions-like maps on the interval

Avraham Bourla (2014)

Acta Arithmetica

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We establish arithmetical properties and provide essential bounds for bi-sequences of approximation coefficients associated with the natural extension of maps, leading to continued fraction-like expansions. These maps are realized as the fractional part of Möbius transformations which carry the end points of the unit interval to zero and infinity, extending the classical regular and backwards continued fraction expansions.