activity
20182026
most citedOn mod congruences for Drinfeld modular forms of level

5 citations · 11 across the 9 of their papers we have counts for

collaborators

10 papers

math.NT2026

On Decomposition of Drinfeld cusp forms of level

Tarun Dalal

In this article, we first prove that the Hecke operator has no eigenform in $\Sla$ with eigenvalue , when the characteristic of the base field is odd. Furthermore,…

math.NT2023★ 1 cited

Intermediate modular curves with infinitely many cubic points over

Tarun Dalal

In this article, we determine all intermediate modular curves that admit infinitely many cubic points over the rational field .

math.NT2023

A Basis for the space of weakly holomorphic Drinfeld modular forms of level

Tarun Dalal

In this article, we explicitly construct a canonical basis for the space of certain weakly holomorphic Drinfeld modular forms for (resp., for ) and compute the g…

math.NT2022

Infinitely many cubic points for over

Francesc Bars, Tarun Dalal

We determine all modular curves that admit infinitely many cubic points over the rational field .

math.NT2021★ 3 cited

The structure of Drinfeld modular forms of level and applications

Tarun Dalal, Narasimha Kumar

In this article, we describe the structure of the -algebra of Drinfeld modular forms (resp., ) of level and the structure of mod-$\p$ reduc…

math.NT2021★ 2 cited

Notes on Atkin-Lehner theory for Drinfeld modular forms

Tarun Dalal, Narasimha Kumar

In this article, we settle a part of the Conjecture by Bandini and Valentino (\cite{BV19a}) for when . Then, we fra…

math.NT2021

On Congruences and Linear relations for Drinfeld modular forms of level , arbitrary type

Tarun Dalal, Narasimha Kumar

In \cite{Cho09}, Choi studied congruences of coefficients (modulo ) for Drinfeld modular forms of level , trivial type and the linear relations between the initial c…

math.NT2020★ 5 cited

On mod congruences for Drinfeld modular forms of level

Tarun Dalal, Narasimha Kumar

In~\cite{CS04}, Calegari and Stein studied the congruences between classical cusp forms of prime level and made several conjectures about them. In~\cite{AB07} (resp.,…

math.NT2020

On non-vanishing of the Fourier coefficients of primitive forms

Tarun Dalal, Narasimha Kumar

In this semi-expository article, we discuss about the non-vanishing of the Fourier coefficients of primitive forms. Also, we shall make a note of a discrepancy in the statement of…

math.NT2018

On non-vanishing and sign changes of the Fourier coefficients of Hilbert cusp forms

Narasimha Kumar, Tarun Dalal

In this article, we study (simultaneous) non-vanishing, (simultaneous) sign changes of Fourier coefficients of (two) Hilbert cusp forms, respectively.