Distribution of residues modulo p
Distribution of values of a real function: Means, moments, and symmetry.
Distribution of values of Euler's function over integers free of large prime factors
Distribution of values of Hecke characters of infinite order
We show that the number of primes of a number field K of norm at most x, at which the local component of an idele class character of infinite order is principal, is bounded by O(x exp(-c√(log x))) as x → ∞, for some absolute constant c > 0 depending only on K.
Distribution of values of multiplicative functions in residue classes.
Distribution of Values of ...(n) in Residue Classes.
Distribution of zeros of Dirichlet L-functions and the least prime in an arithmetic progression
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 of the values of some arithmetical functions
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...
Divisibilité de par un nombre premier
Divisibility of the κ-fold iterated divisor function of n into n
Divisor problems in special sets of positive integers.
Divisor problems of 4 and 3 dimensions
Divisor weighted sums.
Divisors of the Euler and Carmichael functions
Double recurrence and almost sure convergence.
Důkaz věty, že existuje nekonečně mnoho kmenných čísel , je-li kmenné
Durchschnitte von Pjateckij-Shapiro-Folgen.