Cubic residues and binary quadratic forms

DOI10.1016/j.jnt.2006.08.001zbMath1124.11006OpenAlexW2122786434MaRDI QIDQ877923

Zhi-Hong Sun

Publication date: 4 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.08.001

zbMATH Keywords

binary quadratic formscubic reciprocityquadratic unitscubic residues

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Power residues, reciprocity (11A15) General binary quadratic forms (11E16)

Related Items (7)

On distribution properties of cubic residues ⋮ Solvability of cubic equations in \(p\)-adic integers \((p>3)\) ⋮ On the diophantine equation x3 + y3 + z3 = q ⋮ On cubic residues and related problems ⋮ Local descriptions of roots of cubic equations over \(p\)-adic fields ⋮ CONGRUENCES CONCERNING LUCAS SEQUENCES ⋮ On cubic equations over p-adic fields

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• On a theorem of Jordan
• The Cubic Congruence x ₃ + Ax ₂ + Bx + C ≡ 0(mod p ) and Binary Quadratic Forms
• On Euler's Criterion for Cubic Nonresidues

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