Mathematical Journal of Okayama University 59巻 1号
2017-01 発行

A remark on the Lavallee-Spearman-Williams-Yang family of quadratic fields

Kim, Kwang-Seob School of Mathematics, Korea Institute for Advanced Study
Kishi, Yasuhiro Department of Mathematics, Aichi University of Education
Publication Date
2017-01
Abstract
In [4], M. J. Lavallee, B. K. Spearman, K. S. Williams and Q. Yang introduced a certain parametric D5-quintic polynomial and studied its splitting field. The present paper gives an infinite family of quadratic fields with class number divisible by 5 by using properties of its polynomial.
Keywords
Class numbers
Quadratic fields
D5-polynomials