Euclid's Algorithm in real Quadratic Fields

DOI10.4153/CJM-1950-026-7zbMath0037.30802MaRDI QIDQ5796081

H. Chatland, Harold Davenport

Publication date: 1950

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

zbMATH Keywords

real quadratic fieldsnonexistence of Euclid's algorithm

Mathematics Subject Classification ID

Quadratic extensions (11R11) Algebraic numbers; rings of algebraic integers (11R04)

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On the number of divisions of the Euclidean algorithm applied to Gaussian integers, Euclid's algorithm in cubic fields of negative discriminant, The inhomogeneous minima of binary quadratic forms. I, Euclidean algorithm in Galois quartic fields, The Euclidean algorithm in quintic and septic cyclic fields, On the construction of division chains in algebraic number rings,with applications to SL₂, A Survey of Certain Euclidean Number Fields, Euclidean rings of algebraic numbers and functions