English

On functions without a normal order

Number Theory 2016-06-16 v1

Abstract

The method of Tur\'an in establishing the normal order for the number of prime divisors of a number is used to show that a certain class of arithmetic functions do not have a normal order.

Cite

@article{arxiv.1606.04533,
  title  = {On functions without a normal order},
  author = {Peter Shiu},
  journal= {arXiv preprint arXiv:1606.04533},
  year   = {2016}
}

Comments

4 pages

R2 v1 2026-06-22T14:25:24.525Z