A generalization of Maillet’s determinant and a bound for the first factor of the class number
L. Carlitz · Proceedings of the American Mathematical Society · 1961
(2) Dp= (_p)(p-3)/2. For references see [6, pp. 340-3421. It was shown in [31 that (3) DP= + p(p3)'2k, where h denotes the first factor of the class number of the cyclotomic field R(e2riIP), and R denotes the rational field. Thus DpOO but Malo's conjecture (2) is seen to be incorrect. It should be noted that Dp had been discussed earlier by Turnbull [7]. The first step in the proof of (3) is the easily proved relation