Tathagata Mandal

activity

20182026

collaborators

3 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.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…