The Euclidean algorithm in quintic and septic cyclic fields
Work
Year: 2016
Type: article
Abstract: Conditionally on the Generalized Riemann Hypothesis (GRH), we prove the following results: (1) a cyclic number field of degree $5$ is norm-Euclidean if and only if $\Delta =11^4,31^4,41^4$; (2) a cycl... more
Source: Mathematics of Computation
Authors Pierre Lezowski, Kevin J. McGown
Institutions Laboratoire de Mathématiques, Université Clermont Auvergne, Bidwell Memorial Presbyterian Church
Cites: 19
Cited by: 6
Related to: 10
FWCI: 1.197
Citation percentile (by year/subfield): 47.38
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze