Journal of the Ramanujan Mathematical Society
Volume 33, Issue 2, June 2018 pp. 135–147.
Admissible primes and Euclidean quadratic fields
Authors:
M. Ram Murty, Kotyada Srinivas and Muthukrishnan Subramani
Author institution:Department of Mathematics and Statistics, Jeffery Hall, Queen's University, Kingston, Ontario, K7L 3N6, Canada
Summary:
Let K be a real quadratic field with ring of integers
O K. We exhibit an infinite family of real quadratic
fields K, such that O K contains an
admissible set of primes with two elements. We then
study the implications of this construction to the determination
of Euclidean real quadratic fields and related questions.
Contents
Full-Text PDF