A note on the ErdAs-Straus conjecture

作者:Subburam S; Togbe Alain*
来源:Periodica Mathematica Hungarica, 2016, 72(1): 43-49.
DOI:10.1007/s10998-015-0109-9

摘要

In this note, we consider the Erdoos-Straus Diophantine equation c/n = 1/x + 1/v + 1/z, where n and c are positive integers with gcd(n, c) = 1. We provide a formula for the number f (n, c) of all positive integral solutions (x, y, z) of the equation. In 1948, Erd " os and Straus conjectured that f (n, 4) >= 1, for all integers n >= 2. Here, we solve the conjecture for a special case of n.

  • 单位
    常州工学院

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