International Journal of Mathematics and Mathematical Sciences
Volume 9 (1986), Issue 4, Pages 797-800
doi:10.1155/S0161171286000972
On the computation of the class numbers of some cubic fields
Department of Mathematics, Loyola Campus, Concordia University, Montreal H4B 1R6, Canada
Received 10 December 1985
Copyright © 1986 Manny Scarowsky and Abraham Boyarsky. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Class numbers are calculated for cubic fields of the form x3+12Ax−12=0, A>0, for 1≤a≤17, and for some other values of A. These fields have a known unit, which under certain conditions is the fundamental unit, and are important in studying the Diophantine Equation x3+y3+z3=3.