Distribution uniforme modulo 1
Distributional and Operational Integral Homogeneity over Local Fields.
Distributional properties of powers of matrices
We apply the larger sieve to bound the number of matrices not having large order when reduced modulo the primes in an interval. Our motivation is the relation with linear recursive congruential generators. Basically our results establish that the probability of finding a matrix with large order modulo many primes drops drastically when a certain threshold involving the number of primes and the order is exceeded. We also study, for a given prime and a matrix, the existence of nearby non-similar...
Distributions and Euler systems in global function fields
Distributions de Frobénius
Distributions homogènes sur une algèbre de Jordan
Distributions of the values of some arithmetical functions
Distributions on Rational Function Fields.
Distributions on Toroidal Groups.
Divergent trajectories of flows on homogeneous spaces and Diophantine approximation.
Diversity in inside factorial monoids
In a recent paper (Diversity in Monoids, Czech. Math. J. 62 (2012), 795–809), the last two authors introduced and developed the monoid invariant “diversity” and related properties “homogeneity” and “strong homogeneity”. We investigate these properties within the context of inside factorial monoids, in which the diversity of an element counts the number of its different almost primary components. Inside factorial monoids are characterized via diversity and strong homogeneity. A new invariant complementary...
Diversity in monoids
Let be a (commutative cancellative) monoid. A nonunit element is called almost primary if for all , implies that there exists such that or . We introduce a new monoid invariant, diversity, which generalizes this almost primary property. This invariant is developed and contextualized with other monoid invariants. It naturally leads to two additional properties (homogeneity and strong homogeneity) that measure how far an almost primary element is from being primary. Finally, as an application...
Dividing rational points on abelian varieties of CM-type
Diviseurs appartenant à une même classe résiduelle
Diviseurs premiers de suites recurrentes no lineaires.
Divisibilité de certaines fonctions arithmétiques
Divisibilité de par un nombre premier
Divisibilité des polynômes relativement aux puissances d'un nombre entier
Divisibilité du nombre de classes des corps abéliens réels.
Divisibilité par 19