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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Twenty-fourth power residue difference sets
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by Ronald J. Evans PDF
Math. Comp. 40 (1983), 677-683 Request permission

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
  • © Copyright 1983 American Mathematical Society
  • Journal: Math. Comp. 40 (1983), 677-683
  • MSC: Primary 12C20; Secondary 05B10, 10G05, 10L05
  • DOI: https://doi.org/10.1090/S0025-5718-1983-0689481-4
  • MathSciNet review: 689481