n-Tuples of positive integers with the same second elementary symmetric function value and the same product |
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Authors: | Yong Zhang Tianxin Cai |
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Affiliation: | Department of Mathematics, Zhejiang University, Hangzhou 310027, People?s Republic of China |
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Abstract: | In this paper, by using the theory of elliptic curves, we prove that for every k, there exist infinitely many primitive sets of k n-tuples of positive integers with the same second elementary symmetric function value and the same product. |
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