On $4/n=1/x+1/y+1/z$
Author:
William A. Webb
Journal:
Proc. Amer. Math. Soc. 25 (1970), 578-584
MSC:
Primary 10.10
DOI:
https://doi.org/10.1090/S0002-9939-1970-0256984-9
MathSciNet review:
0256984
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Abstract | References | Similar Articles | Additional Information
Abstract: It is shown that the number of positive integers $n \leqq N$ for which $4/n = 1/x + 1/y + 1/z$ is not solvable in positive integers, is less than a constant times $N/{(\log \;N)^{7/4}}$.
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Keywords:
Diophantine equation,
divisors,
residue classes,
Selberg’s sieve
Article copyright:
© Copyright 1970
American Mathematical Society