A new criterion for 7 to be a fourth power (mod p)

DOI10.1007/BF02760807zbMath0466.10002OpenAlexW1982017201MaRDI QIDQ1155078

Richard H. Hudson, Kenneth S. Williams

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1007/bf02760807

zbMATH Keywords

cyclotomic numberquartic reciprocitybiquadratic residue

Mathematics Subject Classification ID

Power residues, reciprocity (11A15)

Related Items (1)

On second 2-descent and non-congruent numbers

Cites Work

• Unnamed Item
• Resolution of sign ambiguities in Jacobi and Jacobsthal sums
• Some new residuacity criteria
• Elementary treatment of a quadratic partition of primes p \(\equiv\) 1 (mod 7)
• The septic character of \(2, 3, 5\) and \(7\)
• Criteria for cubic and quartic residuacity
• A Quadratic Partition of Primes ≡1 (mod 7)
• The Cyclotomic Numbers of Order Seven
• A rational sixteenth power reciprocity law
• Cyclotomy, Higher Congruences, and Waring's Problem
• The cyclotomic numbers of order fourteen
• On the Evaluation of Brewer's Character Sums
• On the septimic character of 2 and 3
• Theorems on Quadratic Partitions

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