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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Twenty-fourth power residue difference sets


Author: Ronald J. Evans
Journal: Math. Comp. 40 (1983), 677-683
MSC: Primary 12C20; Secondary 05B10, 10G05, 10L05
MathSciNet review: 689481
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Abstract: It is proved that if p is a $ {\text{prime}} \equiv 1\;\pmod 24$ such that either 2 is a cubic residue or 3 is a quartic residue $ \pmod p$, then the twenty-fourth powers $ \pmod p$ do not form a difference set or a modified difference set.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1983-0689481-4
PII: S 0025-5718(1983)0689481-4
Keywords: Power residue difference sets, cyclotomic numbers, Gauss and Jacobi sums
Article copyright: © Copyright 1983 American Mathematical Society