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On the Sum
Published online by Cambridge University Press: 20 January 2009
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Erdős (1) has proved the following result:
Theorem A.Every integral polynomial g(n) of degree k ≧ 3, represents for infinitely many integers n a(k-1)th power-free integer provided, in the case where k is a power of 2, there exists an integer n such that g(n)≢0 (mod 2k-1).
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- Copyright © Edinburgh Mathematical Society 1967
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