Epsilon factors of symplectic type characters in the wild case
Abstract 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.