Explicit criteria for quintic residuacity

Author:
Kenneth S. Williams

Journal:
Math. Comp. **30** (1976), 847-853

MSC:
Primary 10A15

DOI:
https://doi.org/10.1090/S0025-5718-1976-0412089-9

MathSciNet review:
0412089

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Abstract | References | Similar Articles | Additional Information

Abstract: Let *p* be a . Necessary and sufficient conditions are determined for the prime to be a quintic residue of *p*. The results for are known, the rest are new.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1976-0412089-9

Keywords:
Quintic residue,
primitive root,
*f*-nomial periods,
period equation

Article copyright:
© Copyright 1976
American Mathematical Society