Lamprecht-Tate Formula

Abstract

For multiplicative characters of a non-Archimedean local field, we have a formula for epsilon factors due to John Tate. Before Tate, Erich Lamprecht also gave a formula for local epsilon factors of linear characters. Then Tate generalizes the formula for epsilon factors. In this paper, we give a very short and neat proof of the Lamprecht-Tate formula. We also show that the famous twisting formula of Deligne is a special case of the Lamprecht-Tate formula.