Diophantine approximation with arithmetic functions, I
Number Theory
2009-06-18 v1
Abstract
We prove a strong simultaneous Diophantine approximation theorem for values of additive and multiplicative functions provided that the functions have certain regularity on the primes.
Cite
@article{arxiv.0805.2867,
title = {Diophantine approximation with arithmetic functions, I},
author = {Emre Alkan and Kevin Ford and Alexandru Zaharescu},
journal= {arXiv preprint arXiv:0805.2867},
year = {2009}
}
Comments
15 pages. To appear in Trans. Amer. Math. Soc