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Research Article Open access CC BY 4.0

The Product-to-sum Expressing with a Divisor Function σ3(n)

Aeran Kim

Asian Research Journal of Mathematics · pp. 1–16 · Published 26 May 2016

10.9734/ARJOM/2016/26832

Abstract

A formula expressing an in nite product as an infinite sum is called a product-to-sum identity. In this paper we try to consider a special product-to-sum as   and so for integers r, u, a, b, c, x, y and z we deduce all solutions of (r, u, a, b, c, x, y, z) with r ≥ 0.

Divisor functions infinite product sums product-to-sum

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