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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Note on Brewer's character sum


Author: Kenneth S. Williams
Journal: Proc. Amer. Math. Soc. 71 (1978), 153-154
MSC: Primary 10G05
MathSciNet review: 0472725
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Abstract: A very short proof is given of the result

$\displaystyle \sum\limits_{x = 0}^{p - 1} {\left( {\frac{{(x + 2)({x^2} - 2)}}{p}} \right)} = 0,$

if $ p \equiv 5$ or $ 7 \pmod 8$.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1978-0472725-1
PII: S 0002-9939(1978)0472725-1
Article copyright: © Copyright 1978 American Mathematical Society