Abstract

where s denotes the squarefree part of a 2 b 2 c, and the value of e ( = 2, 0, 2, 4, 6, 8) is given in Tables A (c -= 2 (mod 4)), B (c = 3 (mod 4)), C (c -= 5 (mod 8)), and D (c (mod 8)) of [3]. Tables A, B, C, D comprise 8, 8, 8, 27 cases respectively. Each case is specified by congruence conditions on a, b, and c. For example B 4 is the case a ~ b = 1 (mod 2), c -= 3 (rood 4), and in this case e = 8. In this paper we obtain the following formula for the discriminant of L.

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