Mathematical Journal of Okayama University 59巻 1号
School of Mathematics, Korea Institute for Advanced Study
Department of Mathematics, Aichi University of Education
In , 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.