Discrepancy of cartesian products of arithmetic progressions.
Discrepancy of sums of three arithmetic progressions.
Disjoint Beatty sequences.
Disjoint covering systems and product-invariant relations
Disjoint covering systems with precisely one multiple modulus
Disjoint sequences in Boolean algebras
We deal with the system of all sequential convergences on a Boolean algebra . We prove that if is a sequential convergence on which is generated by a set of disjoint sequences and if is any element of , then the join exists in the partially ordered set . Further we show that each interval of is a Brouwerian lattice.
Dispersion of ratio block sequences and asymptotic density
Distance sets, ratio sets and certain transformations of sets of real numbers
Distribution of irregular pairs
Distribution of irregular prime numbers.
Distribution of the Ratios of the Terms of a Linear Recurrence.
Distribution Preserving Sequences of Maps and Almost Constant Sequences on Finite Sets.
Distribution properties of digital expansions arising from linear recurrences
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...
Diviseurs premiers de suites recurrentes no lineaires.
Divisibility by 2 and 3 of certain Stirling numbers.
Divisibility of integer polynomials and tilings of the integers
Divisibility properties of certain recurrent sequences.
Dixon's formula and identities involving harmonic numbers.