Sudipa Mondal

activity

20202026

most citedOn the growth of cuspidal cohomology of

GL_{4}

3 citations · 3 across the 11 of their papers we have counts for

collaborators

11 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.NT2026

Monsky Matrix and 2-Selmer rank

Shamik Das, Sudipa Mondal

In this article, we produce infinite families of non-congruent numbers in the residue class of $1, 2,$ and $3$ modulo $8$ with arbitrarily many triples or quadruples prime factors.…

math.NT2026

$2$ -Selmer groups, $2$ -class groups, and congruent numbers

Shamik Das, Debajyoti De, Sudipa Mondal

In this article, we study necessary conditions for certain square-free integers to be congruent numbers. Our method uses divisibility properties of class numbers of related imagina…

math.NT2026

A necessary condition for a congruent number of the form $8 k + 3$

Shamik Das, Sudipa Mondal

A positive square-free integer is called a \textit{congruent number} if it arises as the area of a right triangle with rational side lengths. Let $n = p_{1} p_{2} \dots p_{t} q$ be a s…

math.NT2024

Relative $p$ -class groups and $p$ -Selmer groups

Debajyoti De, Dipramit Majumdar, Sudipa Mondal

Let $E$ be an elliptic curve with $j$ -invariant $0$ or $1728$ and let $E$ be a $k^{t h}$ twist of $E$ . We show that for any prime $p$ of good reduction of $\widetilde{E}…

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.NT2021

Automorphic tensor products and cuspidal cohomology of the $GL_{4}$

Chandrasheel Bhagwat, Sudipa Mondal

In this article, we establish an asymptotic lower bound estimate on the contribution of cuspidal automorphic representations of $GL_{4} (A_{Q})$ to cuspidal coho…

math.NT2020★ 3 cited

On the growth of cuspidal cohomology of $GL_{4}$

Chandrasheel Bhagwat, Sudipa Mondal

In this article, we establish an asymptotic estimate on the number of cuspidal automorphic representations of $GL_{4} (A_{Q})$ which contribute to the cuspidal c…

math.GR2020

Powers in the wreath product of $G$ with $S_{n}$

Rijubrata Kundu, Sudipa Mondal

In this paper we compute powers in the wreath product $G ≀ S_{n}$ , for any finite group $G$ . For $r \geq 2$ , a prime, consider $ω_{r} : G ≀ S_{n} \to G ≀ S_{n}$ defined by $g \mapsto g^{r}$ .…

Towards a generalized Maeda conjecture for modular forms with quadratic nebentypus

Monsky Matrix and 2-Selmer rank

2-Selmer groups, 2-class groups, and congruent numbers

A necessary condition for a congruent number of the form 8k+3

Relative p-class groups and p-Selmer groups

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

Contribution of symmetric power transfers to the cuspidal cohomology of GLn​

Two properties of symmetric cube transfers of modular forms

Automorphic tensor products and cuspidal cohomology of the GL4​

On the growth of cuspidal cohomology of GL4​

Powers in the wreath product of G with Sn​

$2$ -Selmer groups, $2$ -class groups, and congruent numbers

A necessary condition for a congruent number of the form $8 k + 3$

Relative $p$ -class groups and $p$ -Selmer groups

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

Automorphic tensor products and cuspidal cohomology of the $GL_{4}$

On the growth of cuspidal cohomology of $GL_{4}$

Powers in the wreath product of $G$ with $S_{n}$