Square-free Integers and Infinite products

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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.
11 pages, comments are invited

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General Mathematics, 11A99;11N80; 40B05; 40A20

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http://salesiana.dossiersoluciones.com/handle/123456789/215739

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0901.1841
 http://arxiv.org/abs/0901.1841

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arXiv