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Joseph Basquin (2014)
Journal de Théorie des Nombres de Bordeaux
In this paper we consider an extension to friable integers of the arcsine law for the mean distribution of the divisors of integers, originally due to Deshouillers, Dress and Tenenbaum.We describe the limit law and show that it departs from the arcsine law when the friability parameter increases. More precisely, as , the mean distribution shifts from the arcsine law towards Gaussian behaviour.
Philippe SATGÉ (1974/1975)
Seminaire de Théorie des Nombres de Bordeaux
Guy HENNIART (1979/1980)
Seminaire de Théorie des Nombres de Bordeaux
Jacques Vélu (1972/1973)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
T. Nguyen Quang Do (1991)
Manuscripta mathematica
G. TENENBAUM (1977/1978)
Seminaire de Théorie des Nombres de Bordeaux
Gérald Tenenbaum (1977/1978)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
Gerald Tenenbaum (1980)
Acta Arithmetica
Gérald Tenenbaum (1981)
Acta Arithmetica
Gérald Tenenbaum (1979)
Annales de l'institut Fourier
Soit un sous-intervalle de ; on montre que la probabilité pour qu’un diviseur d’un entier appartiennent à possède une loi de distribution dont la mesure de répartition est atomique, à support inclus dans l’ensemble des nombres dyadiques.
G. de Coninck (1874)
Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale
Eberhard Freitag (1972)
Inventiones mathematicae
Paul Pollack (2011)
Acta Arithmetica
H. Halberstam (1988)
Acta Arithmetica
Hans-Joachim Stender (1977)
Journal für die reine und angewandte Mathematik
Klaus Langmann (1994)
Manuscripta mathematica
Klaus Langmann (1994)
Compositio Mathematica
Klaus Langmann (1993)
Compositio Mathematica
Gabriele Nebe, Elisabeth Nossek, Boris Venkov (2013)
Journal de Théorie des Nombres de Bordeaux
A lattice is called dual strongly perfect if both, the lattice and its dual, are strongly perfect. We show that there are no dual strongly perfect lattices of dimension 13 and 15.
H. Luo Iwaniec, P. Sarnak (2000)
Publications Mathématiques de l'IHÉS