Tau numbers, natural density, and Hardy and Wright's theorem 437.
The action of the symmetric group on a generalized partition semilattice.
The closures of arithmetic progressions in the common division topology on the set of positive integers
In this paper we characterize the closures of arithmetic progressions in the topology T on the set of positive integers with the base consisting of arithmetic progressions {an + b} such that if the prime number p is a factor of a, then it is also a factor of b. The topology T is called the common division topology.
The gcd-sum function.
The greatest common divisor of two recursive functions.
The largest subset in [1,n] whose integers have pairwise l.c.m. not exceeding n, II
The number of crossings in a regular drawing of the complete bipartite graph.
The number of prime factors of binomial coefficients
The power of a prime that divides a generalized binomial coefficient.
The square-free kernel of
Théorie générale du plus grand commun diviseur et du plus petit multiple commun des nombres commensurables
Théorie générale du plus grand commun diviseur et du plus petit multiple commun des nombres commensurables
Théorie générale du plus grand commun diviseur et du plus petit multiple commun des nombres commensurables
Towards Bauer's theorem for linear recurrence sequences
Consider a recurrence sequence of integers satisfying , where are fixed and a₀ ∈ -1,1. Assume that for all sufficiently large k. If there exists k₀∈ ℤ such that then for each negative integer -D there exist infinitely many rational primes q such that for some k ∈ ℕ and (-D/q) = -1.