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On a sum of positive rational numbers whose product is 1

Number Theory 2016-03-29 v1

Abstract

In this note, we prove that for every two positive integers mn9m \geq n \geq 9, there exist nn positive rational numbers whose product is 1 and sum is mm.

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Cite

@article{arxiv.1603.08420,
  title  = {On a sum of positive rational numbers whose product is 1},
  author = {Jungin Lee},
  journal= {arXiv preprint arXiv:1603.08420},
  year   = {2016}
}

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4 pages