On a conjecture of Narkiewicz about functions with non-decreasing normal order
On a problem of Narkiewicz concerning uniform distributions of sequences of integers
On a theorem of Daboussi related to the set of Gaussian integers.
On additive functions
On additive functions having a non-decreasing normal order
On additive functions with a non-decreasing normal order
On almost even arithmetical functions via orthonormal systems on Vilenkin groups
On an inequality for additive arithmetic functions
On asymptotically correlated -multiplicative functions.
On certain asymptotic functional equations.
On consecutive Farey arcs
On finite pseudorandom binary sequences IV: The Liouville function, II
On isolated, respectively consecutive large values of arithmetic functions
On Ramanujan expansions of certain arithmetical functions
On Sets Characterizing Additive Arithmetical Functions.
On sets of weak uniform distribution
On the concentration of certain additive functions
We study the concentration of the distribution of an additive function f when the sequence of prime values of f decays fast and has good spacing properties. In particular, we prove a conjecture by Erdős and Kátai on the concentration of when c > 1.
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