Sazzad Ali Biswas

activity

20142021

most citedLocal Constants for Galois Representations - Some Explicit Results

2 citations · 4 across the 5 of their papers we have counts for

collaborators

10 papers

math.NT2021

An extension of Deligne-Henniart's twisting formula and its applications

Sazzad Ali Biswas

Let $F / Q_{p}$ be a non-Archimedean local field, and $G_{F}$ be the absolute Galois group of $F$ . Let $ρ_{1}$ and $ρ_{2}$ be two finite-dimensional complex representations of $G_{F}$ . Let…

math.NT2019

Epsilon factors of symplectic type characters in the wild case

Sazzad Ali Biswas

By work of John Tate we can associate an epsilon factor with every multiplicative character of a local field. In this paper we determine the explicit signs of the epsilon factors f…

math.NT2017

Langlands' lambda function for quadratic tamely ramified extensions

Sazzad Ali Biswas

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 fun…

math.NT2017★ 1 cited

Lamprecht-Tate Formula

Sazzad Ali Biswas

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 e…

math.NT2016★ 2 cited

Local Constants for Galois Representations - Some Explicit Results

Sazzad Ali Biswas

We can associate local constant to every continuous finite dimensional complex representation of the absolute Galois group $G_{F}$ of a non-archimedean local field $F / Q_{p}$ b…

math.NT2015

Computation of the Lambda function for a finite Galois extension

Sazzad Ali Biswas

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 l…

math.GR2015

Invariant formula of the determinant of a Heisenberg representation

Sazzad Ali Biswas

In this paper we give an explicit formula of the determinant of a Heisenberg representation $ρ$ of a finite group $G$ . Heisenberg representations are induced by 1-dimensional chara…

math.NT2014

Twisting formula of epsilon factors

Sazzad Ali Biswas

For characters of a non-Archimedean local field we have explicit formula for epsilon factors. But in general, we do not have any generalized twisting formula of epsilon factors. In…

math.NT2014

Existence of non-abelian local constants, and their properties

Sazzad Ali Biswas

In his Ph.D. thesis, John Tate attached the (abelian) local constants to the characters of a non-Archimedean local field of characteristic zero. Robert Langlands proved the existen…

math.NT2014★ 1 cited

Local Constants for Heisenberg Representations

Sazzad Ali Biswas

We can attach a local constant to every finite dimensional continuous complex representation of a local Galois group of a non-archimedean local field $F / Q_{p}$ by Deligne an…