Corrigenda to ``Calculation of the regulator of $\mathbf {Q}(\sqrt {D})$ by use of the nearest integer continued fraction algorithm''

Abstract

Abstract. There are some minor errors in one of the algorithms and two of the tables in a paper by Williams and Buhr. These errors do not affect the major conclusions of the paper.We present corrections to one of the algorithms and two of the tables in [1]. These corrections do not affect the major conclusions of the paper.In the algorithm for computing the NICF of √ D on the bottom half of page 373, when Q k < 0, T k should be defined asR k+1 should be defined as• Otherwise, R k+1 is, as in [1], the remainder on dividing P k+1 + T k+1 by Q k+1 .Note that the formula for R k+1 has to be used with k = −1 in order to set the value of R 0 . In the other formulas in this algorithm k ≥ 0. Also, P k+1 = T k − R k .