학술논문
Ld(1) IS O(logloglogd) FOR ALMOST ALL SQUARE FREE d
Document Type
Article
Author
Source
Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 23(3), pp.341-345 Jul, 2020
Subject
Language
English
ISSN
1598-7264
Abstract
Let d be a square free integer.Using Hardy-Ramanujan's value of nor- mal order of w(d) we show that Ld(1) = ○(logloglogd) except on a negligible set. We note that the proof verifies Robin's inequality σ(n) < eϒ nloglogn (equivalent form of Riemann Hypothesis) for such numbers.