Diophantine determinations of \(3^{(p-1)/8}\) and \(5^{(p-1)/4}\)

DOI10.2140/PJM.1984.111.49zbMath0531.10003OpenAlexW2050110342MaRDI QIDQ788010

Richard H. Hudson

Publication date: 1984

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1984.111.49

zbMATH Keywords

Jacobi sumsDiophantine systemsoctic reciprocity lawquadratic partitions of primes

Mathematics Subject Classification ID

Power residues, reciprocity (11A15) Jacobsthal and Brewer sums; other complete character sums (11L10)

Related Items (2)

Quartic, octic residues and Lucas sequences ⋮ Congruences for q^[p/8 (mod p) under the condition 4n²p = x² + qy²]

This page was built for publication: Diophantine determinations of \(3^{(p-1)/8}\) and \(5^{(p-1)/4}\)