Moni Kumari

activity

20182026

most citedThe first simultaneous sign change for Fourier coefficients of Hecke-Maass forms

3 citations · 4 across the 10 of their papers we have counts for

collaborators

11 papers

math.NT2026

On Lower Bounds for sums of Fourier Coefficients of Twist-Inequivalent Newforms

Moni Kumari, Prabhat Kumar Mishra, Jyotirmoy Sengupta

In this article, we address the lower bounds for the sums $a_{f} (p) + a_{g} (p)$ of the $p$ -th Fourier coefficients of two twist-inequivalent, non-CM normalized newforms $f$ and $g$ . Our…

math.NT2022

The quantitative distribution of Hecke eigenvalues of Maass forms

Moni Kumari, Jyoti Sengupta

Let $f$ be a normalized Hecke-Maass cusp form of weight zero for the group $S L_{2} (Z)$ . This article presents several quantitative results about the distribution of Hecke eig…

math.NT2022

Coprimality of Fourier coefficients of eigenforms

Satadal Ganguly, Arvind Kumar, Moni Kumari

Given a pair of distinct non-CM normalized eigenforms having integer Fourier coefficients $a_{1} (n)$ and $a_{2} (n)$ , we count positive integers $n$ with $(a_{1} (n), a_{2} (n)) = 1$ and make…

math.NT2022★ 1 cited

On the Lang--Trotter conjecture for Siegel modular forms

Arvind Kumar, Moni Kumari, Ariel Weiss

Let $f$ be a genus two cuspidal Siegel modular eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated to $f$ , generalising…

math.NT2021

Ramanujan-style congruences for prime level

Arvind Kumar, Moni Kumari, Pieter Moree +1

We establish Ramanujan-style congruences modulo certain primes $ℓ$ between an Eisenstein series of weight $k$ , prime level $p$ and a cuspidal newform in the $ε$ -eigens…

math.NT2021

Divisors of Fourier coefficients of two newforms

Arvind Kumar, Moni Kumari

For a pair of distinct non-CM newforms of weights at least 2, having rational integral Fourier coefficients $a_{1} (n)$ and $a_{2} (n)$ , under GRH, we obtain an estimate for the set…

math.NT2020★ 3 cited

The first simultaneous sign change for Fourier coefficients of Hecke-Maass forms

Moni Kumari, Jyoti Sengupta

Let $f$ and $g$ be two Hecke-Maass cusp forms of weight zero for $S L_{2} (Z)$ with Laplacian eigenvalues $\frac{1}{4} + u^{2}$ and $\frac{1}{4} + v^{2}$ , respectively. Then both have…

math.NT2020

Construction of Poincaré-type series by generating kernels

Yasemin Kara, Moni Kumari, Jolanta Marzec +3

Let $Γ \subset PSL_{2} (R)$ be a Fuchsian group of the first kind having a fundamental domain with a finite hyperbolic area, and let $Γ$ be its cover in $\…

math.NT2018

Non-vanishing of Hilbert Poincaré series

Moni Kumari

We prove some non-vanishing results of Hilbert Poincaré series. We derive these results, by showing that the Fourier coefficients of Hilbert Poincaré series satisfy some nice ortho…

math.NT2018

Simultaneous non-vanishing and sign changes of Fourier coefficients of modular forms

Moni Kumari, M. Ram Murty

In this article, we give some results on simultaneous non-vanishing and simultaneous sign-changes for the Fourier coefficients of two modular forms. More precisely, given two modul…

math.NT2018

On the parity of the Fourier coefficients of hauptmoduln $j_{N} (z)$ and $j_{N}^{+} (z)$

Moni Kumari, Sujeet Kumar Singh

We obtain some interesting results about the parity of the Fourier coefficients of hauptmoduln $j_{N} (z)$ and $j_{N}^{+} (z),$ for some positive integers $N$ . We use elementary meth…

On Lower Bounds for sums of Fourier Coefficients of Twist-Inequivalent Newforms

The quantitative distribution of Hecke eigenvalues of Maass forms

Coprimality of Fourier coefficients of eigenforms

On the Lang--Trotter conjecture for Siegel modular forms

Ramanujan-style congruences for prime level

Divisors of Fourier coefficients of two newforms

The first simultaneous sign change for Fourier coefficients of Hecke-Maass forms

Construction of Poincaré-type series by generating kernels

Non-vanishing of Hilbert Poincaré series

Simultaneous non-vanishing and sign changes of Fourier coefficients of modular forms

On the parity of the Fourier coefficients of hauptmoduln jN​(z) and jN+​(z)

On the parity of the Fourier coefficients of hauptmoduln $j_{N} (z)$ and $j_{N}^{+} (z)$