Analytical Representations of Divisors of Integers
arXiv:1702.07876 · doi:10.12921/cmst.2017.0000014
Abstract
Certain analytical expressions which "feel" the divisors of natural numbers are investigated. We show that these expressions encode to some extent the well-known algorithm of the sieve of Eratosthenes. Most part of the text is written in pedagogical style, however some formulas are new.
16 pages, 5 figures