Using Weil explicit Formulas, we show how to compute the multiplicity n{sub}x of a zero at the point 1/2 of the Artin L-functions associated to a character x of Degree 2 in quaternion fields of degree 8. We prove in several examples that n{sub}x = 0 when W(x) = 1 and n{sub}x = 1 when W(x) = -1.
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机译：使用Weil显式公式，我们展示了如何在Artin L函数的第1/2的点1/2中计算零的多个n {sub} x与244小时四季度字段中的2度的x的字符x相关联的函数。我们已证明当W（x）= -1时，当w（x）= 1和n {sub} x = 1时，n {sub} x = 0的几个例子。
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