The sequence of middle divisors is unbounded

JOURNAL OF NUMBER THEORY

卷:172

Article

Vatne, Jon Eivind¹ 

[1] Bergen Univ Coll, Fac Engn, Dept Comp Math & Phys, POB 7030, N-5020 Bergen, Norway

关键词: Integer sequence;    Polynomial coefficient;   

DOI  :  10.1016/j.jnt.2016.08.015

来源: Elsevier

【 摘 要 】

Text. The sequence of middle divisors is shown to be unbounded. For a given number n, a(n),(0) is the number of divisors of n between root n/2 and root 2n. We explicitly construct a sequence of numbers n(i) and a list of divisors in the interesting range, so that the length of the list goes to infinity as i increases. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free