The Euclidean condition in pure cubic and complex quartic fields
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- by Vincent G. Cioffari PDF
- Math. Comp. 33 (1979), 389-398 Request permission
Abstract:
In this paper we prove that a field $Q{(^3}\sqrt d )$ is euclidean with respect to the ordinary norm if and only if $d = 2,3$ or 10. We also prove that certain fields of the form $Q{(^4}\sqrt { - d} ),d > 0$, are or are not euclidean.References
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Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Math. Comp. 33 (1979), 389-398
- MSC: Primary 12A30
- DOI: https://doi.org/10.1090/S0025-5718-1979-0514835-5
- MathSciNet review: 514835