A quadratic partition of primes $\equiv 1$ $(\textrm {mod}\ 7)$
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- by Kenneth S. Williams PDF
- Math. Comp. 28 (1974), 1133-1136 Request permission
Abstract:
The solutions of a quadratic partition of primes $p \equiv 1 \pmod 7$, in terms of which the author and P. A. Leonard have given the cyclotomic numbers of order seven and also necessary and sufficient conditions for 2, 3, 5 and 7 to be seventh powers $\pmod p$, are obtained for all such primes $< 1000$.References
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- Philip A. Leonard and Kenneth S. Williams, The septic character of $2$, $3$, $5$ and $7$, Pacific J. Math. 52 (1974), 143–147. MR 364064, DOI 10.2140/pjm.1974.52.143 P. A. LEONARD & K. S. WILLIAMS, "A diophantine system of Dickson," Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (To appear.)
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Math. Comp. 28 (1974), 1133-1136
- MSC: Primary 10A40
- DOI: https://doi.org/10.1090/S0025-5718-1974-0345902-2
- MathSciNet review: 0345902