Abstract Views :148 |
PDF Views:1
Authors
Affiliations
1 Institute of Mathematical Sciences, Taramani, Chennai, 600 113, IN
2 Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, Mumbai, 400 094, IN
Source
Journal of the Ramanujan Mathematical Society, Vol 32, No 4 (2017), Pagination: 417–430
Abstract
Let f (n) denote the number of unordered factorizations of a positive integer n into factors larger than 1. We show that the number of distinct values of f (n), less than or equal to x, is at most exp (C √log x / loglog x (1+o(1))), where C = 2π √ 2/3 and x is sufficiently large. This improves upon a previous result of the first author and F. Luca.