References
G. Cooke, P. J. Weinberger, On the construction of division chains in algebraic number fields, with applications toSL 2 ,Comm. Alg. 3 (1975), 481–524
C. Hooley, On Artin’s conjecture,J. Reine Angew. Math. 225 (1967), 209–220
H. W. Lenstra, Jr.,Lectures on euclidean rings, Bielefeld 1974
H. W. Lenstra, Jr., On Artin’s conjecture and Euclid’s algorithm in global fields,Inventiones Math. 42 (1977), 201–224
T. Motzkin, The euclidean algorithm,Bull. Amer. Math. Soc. 55 (1949), 1142–1146
P. Samuel, About euclidean rings,J. Algebra 19 (1971), 282–301
H. M. Stark, A complete determination of the complex quadratic fields of class-number one,Mich. Math. J. 14 (1967), 1–27
C. Queen, Arithmetic euclidean rings,Acta Arith. 26 (1974), 105–113
P. J. Weinberger, On euclidean rings of algebraic integers,Proc. Symp. Pure Math. 24 (Analytic Number Theory), 321–332, Amer. Math. Soc, 1973
Author information
Authors and Affiliations
Additional information
Translated by Alf van der Poorten.
Rights and permissions
About this article
Cite this article
Lenstra, H.W. Euclidean number fields 3. The Mathematical Intelligencer 2, 99–103 (1980). https://doi.org/10.1007/BF03023382
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF03023382