Abstract
for square-free integers m, and we have obtained that the special value L(Em, 1) of L-function for Em is described in terms of positive definite ternary quadratic forms. It is an analogue result of Tunnell’s [Tun] for the classical congruent number problem. In this paper, we use a result of Gauss on ternary quadratic forms to give more useful criterion for non-2π/3and non-2π/3-congruentness. Some of our results are the following.
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