Diophantine equations arising from cubic number fields

DOI10.1016/0022-314X(81)90023-8zbMath0468.10009MaRDI QIDQ1156173

A. T. Vasquez, Emery Thomas

Publication date: 1981

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

zbMATH Keywords

system of congruencescomplete pair of unitssystem of Diophantine equationsunits in Galois cubic number fields

Mathematics Subject Classification ID

Units and factorization (11R27) Cubic and quartic extensions (11R16) Congruences; primitive roots; residue systems (11A07) Diophantine equations (11D99)

Related Items

A family of elliptic curves and cyclic cubic field extensions, Two more representation problems, A generalization of a result of Hurwitz and Mordell on the torsion subgroups of certain elliptic curves, Unsolvable cases of \(P^3+Q^3+cR^3=dPQR\)

Cites Work

• A system of cubic Diophantine equations
• On the resolution of cusp singularities and the Shintani decomposition in totally real cubic number fields
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