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
Divisibility by 2 and 3 of certain Stirling numbers.
Divisibility by 3 of even multiperfect numbers of abundancy 3 and 4.
Divisibility criteria for class numbers of imaginary quadratic fields
Divisibility of class numbers of real cyclic extensions of degree 4 over Q.
Divisibility of integer polynomials and tilings of the integers
Divisibility of the κ-fold iterated divisor function of n into n
Divisibility properties of certain recurrent sequences.
Divisibility properties of generalized Vandermonde determinants
Divisibility properties of Smith matrices