n-tuples of positive integers with the same sum and the same product

Zhang, Yong; Cai, Tianxin

doi:10.1090/S0025-5718-2012-02609-3

n-tuples of positive integers with the same sum and the same product
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by Yong Zhang and Tianxin Cai PDF

Math. Comp. 82 (2013), 617-623 Request permission

Abstract:

In this paper, by using the theory of elliptic curves, we prove that for every $k$, there exists infinitely many primitive sets of $k$ $n$-tuples of positive integers with the same sum and the same product.

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