摘要

Let x (1) and x (2) be integers divisible only by some fixed primes. Is it possible that x (1)+x (2) is a perfect power? Special cases of the equation x (1)+x (2) = y (k) were formerly considered over a%26quot;currency sign. In this paper we develop an algorithm to solve this equation over global algebraic function fields. Our method is illustrated by two explicit examples.

  • 出版日期2013-2

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