Sums with multiplicative functions over a Beatty sequence
Number Theory
2008-01-21 v1
Abstract
We study sums with multiplicative functions that take values over a non-homogenous Beatty sequence. We then apply our result in a few special cases to obtain asymptotic formulas such as the number of integers in a Beatty sequence representable as a sum of two squares up to a given magnitude.
Cite
@article{arxiv.0801.2796,
title = {Sums with multiplicative functions over a Beatty sequence},
author = {Ahmet M. Guloglu and C. Wesley Nevans},
journal= {arXiv preprint arXiv:0801.2796},
year = {2008}
}