By work of John Tate we can associate an epsilon factor with every multiplicative character of a local field. In this paper, we determine the explicit signs of the epsilon factors for symplectic type characters of K×{K^{\times}}, where K/F{K/F} is a wildly ramified quadratic extension of a non-Archimedean local field F of characteristic zero.

中文翻译：

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在野外情况下辛型字符的Epsilon因子

通过约翰·泰特（John Tate）的工作，我们可以将epsilon因子与局部场的每个乘性相关联。在本文中，我们确定了K×{K ^ {\ times}}的辛型字符的ε因子的显式符号，其中K / F {K / F}是非Archimedean局部的四分之一二次扩展特征为零的场F。