When the Large Divisors of a Natural Number Are in Arithmetic Progression
Number Theory
2019-12-30 v1
Abstract
Iannucci considered the positive divisors of a natural number that do not exceed the square root of and found all numbers whose such divisors are in arithmetic progression. Continuing the work, we define large divisors to be divisors at least and find all numbers whose large divisors are in arithmetic progression. The asymptotic formula for the count of these numbers up to a bound is observed to be .
Cite
@article{arxiv.1912.11587,
title = {When the Large Divisors of a Natural Number Are in Arithmetic Progression},
author = {Hung Viet Chu},
journal= {arXiv preprint arXiv:1912.11587},
year = {2019}
}
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6 pages