Lamprecht-Tate Formula

2017/02/14 by Sazzad Ali Biswas, Biswas, Sazzad Ali
Mathematics · #Mathematical and Theoretical Analysis #advanced mathematical theories #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1702.04286

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.

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