paper

Multidimensional Schinzel-type theorems for multiplicative functions near prime tuples

arXiv:2004.13208

Abstract

Assuming Dickson's conjecture, we obtain multidimensional analogues of recent results on the behavior of certain multiplicative arithmetic functions near twin-prime arguments. This is inspired by analogous unconditional theorems of Schinzel undertaken without primality assumptions.

12 pages

Multidimensional Schinzel-type theorems for multiplicative functions near prime tuples · wovepaper