Moni Kumari

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20182026

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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

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.NT2020

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…