PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, v.87, no.6, pp.91 - 94
Abstract
For a positive integer k and a certain arithmetic progression A, there exist infinitely many quadratic fields Q(root-d) whose class numbers are divisible by k and d is an element of A. From this, we have a linear congruence of the representation numbers of integers as sums of three squares.