On the constant β(k) in Rosser's sieve
On the coprimality of certain multiplicative functions
On the Coprimality of Some Arithmetic Functions
On the coprimality of values of Euler's function at consecutive integers.
On the correlation of Piltz functions.
On the correlation of the truncated Liouville function
On the counting function for the generalized Niven numbers
Given an integer base and a completely -additive arithmetic function taking integer values, we deduce an asymptotic expression for the counting functionunder a mild restriction on the values of . When , the base sum of digits function, the integers counted by are the so-called base Niven numbers, and our result provides a generalization of the asymptotic known in that case.
On the counting function for the Niven numbers
On the DDT theorem
On the densities of sets of multiples.
On the density of certain sets in arithmetical semigroups
On the density of some sets of primes connected with cyclotomic polynomials
On the density of some sets of primes, I
On the density of some sets of primes, II
On the density of some sets of primes, IV
On the determination of an additive arithmetical function by its local behaviour
On the diameter of sets of almost powers
On the difference between consecutive prime numbers
On the Difference Between Consecutive Primes.
On the Difference between Consecutive Primes.