Tathagata Mandal

activity

20172026

collaborators

7 papers

math.NT2026

Towards a generalized Maeda conjecture for modular forms with quadratic nebentypus

Debargha Banerjee, Dhrubajyoti Das, Srijan Das +2

We establish a lower bound for the number of non-CM Galois orbits of newforms in $S_{k} (N, Ψ)$ with non-trivial quadratic nebentypus $Ψ$ for sufficiently large weights. Extending the…

math.NT2024

On the change of epsilon factors for symmetric square transfers under twisting and applications

Tathagata Mandal, Sudipa Mondal

Let us consider the symmetric square transfer of the automorphic representation $π$ associated to a modular form $f \in S_{k} (N, ε)$ . In this article, we study the variation of the ep…

math.NT2023

Contribution of symmetric power transfers to the cuspidal cohomology of $G L_{n}$

Tathagata Mandal, Sudipa Mondal

Let $π$ be a cuspidal automorphic representation of $GL_{2} (A_{Q})$ . Newton and Thorne have proved that for every $n \geq 1$ , the symmetric power lifting $…

math.NT2023

Two properties of symmetric cube transfers of modular forms

Debargha Banerjee, Tathagata Mandal, Sudipa Mondal

In this article, we study two important properties of $sym^{3}$ transfers of the automorphic representation $π$ associated to a modular form. First we compute the conductor of…

math.NT2020

Multiplicities in Selmer groups and root numbers for Artin twists

Somnath Jha, Tathagata Mandal, Sudhanshu Shekhar

Let $K / F$ be a finite Galois extension of number fields and $σ$ be an absolutely irreducible, self-dual representation of $Gal (K / F)$ . Let $p$ be an odd prime and consider…

math.NT2018

A note on quadratic twisting of epsilon factors for modular forms with arbitrary nebentypus

Debargha Banerjee, Tathagata Mandal

In this article, we investigate the variance of local $ε$ -factor for a modular form with arbitrary nebentypus with respect to twisting by a quadratic character. We detect…

math.NT2017

Supercuspidal ramifications and traces of adjoint lifts at good primes