Quadratic residues and character sums over fields of square order

DOI10.1016/0022-314X(84)90071-4zbMath0563.12018MaRDI QIDQ1057320

Stephen D. Cohen

Publication date: 1984

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

finite fieldroots of unitymodified Jacobsthal sumnon-squaresprojective planes of order \(q^ 4\)weak nucleus semifields

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Semifields (12K10) Arithmetic theory of polynomial rings over finite fields (11T55) Power residues, reciprocity (11A15) Jacobsthal and Brewer sums; other complete character sums (11L10)

Cites Work

• Sums of Gauß, Eisenstein, Jacobi, Jacobsthal, and Brewer
• Sums of Gauss, Jacobi, and Jacobsthal
• Zur Theorie der abstrakten elliptischen Funktionenkörper III. Die Struktur des Meromorphismenrings. Die Riemannsche Vermutung.
• Pairs of Quadratic Equations in a Finite Field

This page was built for publication: Quadratic residues and character sums over fields of square order