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11-XX Number theory
11Jxx Diophantine approximation, transcendental number theory
11J25 Diophantine inequalities

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Displaying 61 – 72 of 72

The application of a new mean value theorem to the fractional parts of polynomials

Trevor D. Wooley (1993)

Acta Arithmetica

The Behavior of Rigid Analytic Functions Around Orbits of Elements of < $> ℂ_{p} <$ >

S. Achimescu, V. Alexandru, N. Popescu, M. Vâjâitu, A. Zaharescu (2012)

Rendiconti del Seminario Matematico della Università di Padova

The $k$ -dimensional Duffin and Schaeffer conjecture

A. D. Pollington, R. C. Vaughan (1989)

Journal de théorie des nombres de Bordeaux

We show that the Duffin and Schaeffer conjecture holds in all dimensions greater than one.

The localisation of primes in arithmetic progressions of irrational modulus

Jörg Brüdern, Koichi Kawada (2011)

Colloquium Mathematicae

A new method for counting primes in a Beatty sequence is proposed, and it is shown that an asymptotic formula can be obtained for the number of such primes in a short interval.

The rational points close to a curve

M. N. Huxley (1994)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

The rational points close to a curve II

M. N. Huxley (2000)

Acta Arithmetica

The rational points close to a curve III

M. N. Huxley (2004)

Acta Arithmetica

The View-Obstruction Problem for Spheres in ...5.

J.B. Wilker, V.C. Dumir, R.J. Hans-Gill (1996)

Monatshefte für Mathematik

Thue's Theorem in positive characteristic.

A. Lasjaunias, B. de Mathan (1995)

Journal für die reine und angewandte Mathematik

Über singuläre Zahlensysteme

A. Khintchine (1937)

Compositio Mathematica

Une application nouvelle de la méthode de Thue

Pietro Corvaja (1995)

Annales de l'institut Fourier

Soient $K$ un corps de nombres de degré $n$ sur le corps des nombres rationnels $Q$ , $v$ une place de $K$ . Nous démontrons que pour presque tout couple $(α, β) \in K \times Q$ , avec $α \neq β$ , on a $| α - β | > H (α)^{- 2 n \sqrt{n}} H (β)^{- 4 \sqrt{n}}$ , où $H (\cdot)$ désigne la hauteur de Weil absolue. Un résultat semblable vaut quand le corps des approximants $Q$ est remplacé par un corps de nombres quelconque.

Upper bounds for the coefficients of irreducible integer polynomials in several variables

Francesco Amoroso, Maurice Mignotte (2001)

Acta Arithmetica

Currently displaying 61 – 72 of 72

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