English

Square-free Integers and Infinite products

General Mathematics 2009-01-14 v1

Abstract

We study few properties of square-free integers in certain equations. Using this property, we derive some infinite products in powers of square free numbers. Also, we present a method, to convert power series and trigonometric series to infinte products. Infinite products of few elementary trigonometric functions and factorials for large numbers are shown as examples.

Keywords

Cite

@article{arxiv.0901.1841,
  title  = {Square-free Integers and Infinite products},
  author = {Ramesh Kumar Muthumalai},
  journal= {arXiv preprint arXiv:0901.1841},
  year   = {2009}
}

Comments

11 pages, comments are invited

R2 v1 2026-06-21T12:00:21.507Z