Langlands' lambda function for quadratic tamely ramified extensions

TL;DR

This paper derives an explicit formula for Langlands' lambda function associated with quadratic tamely ramified extensions of non-Archimedean local fields, aiding in understanding local class field theory.

Contribution

It provides the first explicit formula for Langlands' lambda function in the case of quadratic tamely ramified extensions.

Findings

Explicit formula for $ ext{lambda}_{K/F}$ derived

Enhances understanding of local class field theory

Applicable to quadratic tamely ramified extensions

Abstract

Let $K/F$ be a quadratic tamely ramified extension of a non-Archimedean local field $F$ of characteristic zero. In this paper, we give an explicit formula for Langlands' lambda function $\lambda_{K/F}$.