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arXiv · 1506.02847

Computation of the Lambda function for a finite Galois extension

Sazzad Ali Biswas
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Abstract

By Langlands and Deligne we know that the local constants are extendible functions. Therefore, to give an explicit formula of the local constant of an induced representation of a local Galois group of a non-Archimedean local field $F$ of characteristic zero, we have to compute the lambda function $\lambda_{K/F}$ for a finite extension $K/F$. In this paper, when a finite extension $K/F$ is Galois, we give a formula for $\lambda_{K/F}$.

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Sazzad Ali Biswas. 2015-06-09. Computation of the Lambda function for a finite Galois extension. https://arxiv.org/abs/1506.02847

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