Lamprecht-Tate Formula
Number Theory
2019-05-02 v2
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.
Cite
@article{arxiv.1702.04286,
title = {Lamprecht-Tate Formula},
author = {Sazzad Ali Biswas},
journal= {arXiv preprint arXiv:1702.04286},
year = {2019}
}
Comments
6 pages