English

Mean Values for a Class of Arithmetic Functions in Short Intervals

Number Theory 2018-07-25 v1

Abstract

In this paper, we shall establish a rather general asymptotic formula in short intervals for a classe of arithmetic functions and announce two applications about the distribution of divisors of square-full numbers and integers representable as sums of two squares.

Keywords

Cite

@article{arxiv.1807.09019,
  title  = {Mean Values for a Class of Arithmetic Functions in Short Intervals},
  author = {Jie Wu and Qiang Wu},
  journal= {arXiv preprint arXiv:1807.09019},
  year   = {2018}
}
R2 v1 2026-06-23T03:12:15.047Z