On Consecutive k'th Power Residues.
On continuous self-maps and homeomorphisms of the Golomb space
The Golomb space is the set of positive integers endowed with the topology generated by the base consisting of arithmetic progressions with coprime . We prove that the Golomb space has continuum many continuous self-maps, contains a countable disjoint family of infinite closed connected subsets, the set of prime numbers is a dense metrizable subspace of , and each homeomorphism of has the following properties: , , , and for all . Here and denotes the set of prime divisors...
On cubic polynomials giving many primes.
On Dirichlet characters of polynomials
On disjoint arithmetic progressions
On Dispersion and Markov Constants.
On distribution of values of σ(n) in residue classes
On divisibility of Narayana numbers by primes.
On divisibility of one special type of numbers
On divisibility of some power sums.
On divisors of terms of linear recurrence sequences.
On Eisenstein's problem
On exactly covering systems of congruences having moduli occurring at most twice
On exceptional systems of random integers.
On exceptions to Szegedy's theorem
On expansions of Gaussian integers with non-negative digits.
On explicit reciprocity laws.
On explicit reciprocity laws. II.
On -thin sets
On factorization of integers with restrictions on the exponents.