International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 45-48, Pages 2383-2400
doi:10.1155/S0161171204312470
Units in families of totally complex algebraic number fields
L.Ya. Vulakh
Department of Mathematics, Albert Nerken School of Engineering, The Cooper Union, 51 Astor Place, New York 10003, NY, USA
Abstract
Multidimensional continued fraction algorithms associated with GLn(ℤk), where ℤk is the ring of integers of an imaginary quadratic field K, are introduced and applied to find systems of fundamental units in families of totally complex algebraic number fields of degrees four, six, and eight.