Joint distribution of completely q-additive functions in residue classes Academic Article uri icon

abstract

  • Given several completely q(j)-additive integer functions with pairwise prime q(j)'s, we consider their joint behavior modulo some integer vector. Under several natural conditions, it is possible to show that this behavior displays some "independence" properties with respect to the various moduli. In this paper we deal with this phenomenon along arithmetic sequences, as well as on short intervals.

publication date

  • January 1, 2016