Explicit multiplicative relations between Gauss sums

DOI10.1016/J.JNT.2006.12.010zbMath1136.11076OpenAlexW1969918047MaRDI QIDQ996274

Brian J. Murray

Publication date: 14 September 2007

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

Full work available at URL: https://digitalcommons.lsu.edu/gradschool_dissertations/757

zbMATH Keywords

Gauss sumssign ambiguitiesquadratic and biquadratic residues

Mathematics Subject Classification ID

Quadratic extensions (11R11) Gauss and Kloosterman sums; generalizations (11L05) Other character sums and Gauss sums (11T24) Congruences; primitive roots; residue systems (11A07)

Related Items (2)

NEW EXPLICIT MULTIPLICATIVE RELATIONS BETWEEN GAUSS SUMS ⋮ Infinite class of new sign ambiguities

Cites Work

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• Sign ambiguities of Jacobi sums
• Generalizations of a Classical Theorem in Number Theory
• On a conjecture of hasse concerning multiplicative relations of Gaussian sums
• On Jacobi Sums of Certain Composite Orders
• The cyclotomic numbers of order twenty

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