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Displaying 761 – 780 of 1536

Nouvelles méthodes pour minorer des combinaisons linéaires de logarithmes de nombres algébriques

Michel Waldschmidt (1991)

Journal de théorie des nombres de Bordeaux

Depuis un peu plus de vingt ans, la recherche de minorations de combinaisons linéaires de logarithmes de nombres algébriques avec des coefficients algébriques a fait l'objet de nombreux travaux. Dès que le nombre de logarithmes dépasse 2, toutes les démonstrations utilisées jusqu'à présent reposaient sur la méthode de Baker. Nous proposons ici d'autres méthodes.

Numbers with order ≤ 1

Alain Escassut (1981/1982)

Groupe de travail d'analyse ultramétrique

O irracionálnosti Ludolfiny

František Josef Studnička (1890)

Časopis pro pěstování mathematiky a fysiky

O sedmém Hilbertově problému

Břetislav Novák (1972)

Pokroky matematiky, fyziky a astronomie

Odd values of the Ramanujan $τ$ -function

M.Ram Murty, V.Kumar Murty, T.N. Shorey (1987)

Bulletin de la Société Mathématique de France

Old Friends Revisited; the Multifunctional Nature of Some Classical Functions.

Stéphane Jaffard (1997)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

On a certain infinite series for a periodic arithmetical function

Tadashige Okada (1982)

Acta Arithmetica

On a conjecture on exponential Diophantine equations

Mihai Cipu, Maurice Mignotte (2009)

Acta Arithmetica

On a decomposition of integer vectors, II

Iskander Aliev (2002)

Acta Arithmetica

On a diophantine problem with one prime, two squares of primes and s powers of two

Alessandro Languasco, Valentina Settimi (2012)

Acta Arithmetica

On a Diophantine problem with two primes and s powers of two

Alessandro Languasco, Alessandro Zaccagnini (2010)

Acta Arithmetica

On a distribution problem in finite sets

H. G. Meijer, H. Niederreiter (1972)

Compositio Mathematica

On a measure theoretic aspect of diophantine approximation.

Stefan Kühnlein (1996)

Journal für die reine und angewandte Mathematik

On a metrical theorem of W. Schmidt

V. Bernik (1996)

Acta Arithmetica

On a mixed Littlewood conjecture for quadratic numbers

Bernard de Mathan (2005)

Journal de Théorie des Nombres de Bordeaux

We study a simultaneous diophantine problem related to Littlewood’s conjecture. Using known estimates for linear forms in $p$ -adic logarithms, we prove that a previous result, concerning the particular case of quadratic numbers, is close to be the best possible.

Currently displaying 761 – 780 of 1536

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Displaying 761 – 780 of 1536

Nouvelles méthodes pour minorer des combinaisons linéaires de logarithmes de nombres algébriques

Numbers with order ≤ 1

O irracionálnosti Ludolfiny

O sedmém Hilbertově problému

Odd values of the Ramanujan $τ$ -function

Old Friends Revisited; the Multifunctional Nature of Some Classical Functions.

On a certain infinite series for a periodic arithmetical function

On a conjecture on exponential Diophantine equations

On a decomposition of integer vectors, II

On a diophantine problem with one prime, two squares of primes and s powers of two

On a Diophantine problem with two primes and s powers of two

On a distribution problem in finite sets

On a measure theoretic aspect of diophantine approximation.

On a metrical theorem of W. Schmidt

On a mixed Littlewood conjecture for quadratic numbers

On a mixed Littlewood conjecture in Diophantine approximation

On a mixed problem in Diophantine approximation

On a Number-Theoretical Integration Method.

On a Number-Theoretical Integration Method. (Short Communications).

On a paper by A. Baker on the approximation of rational powers of e

Currently displaying 761 – 780 of 1536