L. Vaishya

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20192026

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8 papers · 1 filter

math.NT2026

Sparse Distribution of Coefficients of $ℓ$ -fold Product $L$ -functions at Integers Represented by Quadratic Forms

Anubhav Sharma, Mohit Tripathi, Lalit Vaishya

Let $f \in S_{k} (Γ_{0} (N))$ be a normalized Hecke eigenform. We study the Fourier coefficients $λ_{f \otimes \dots \otimes_{ℓ} f} (n)$ of the $ℓ$ -fold product $L$ -function fo…

math.NT2025

Oscillations and first-ever negative Fourier coefficients of symmetric square L-functions over sparse set

Srinivas Kotyada, Lalit Vaishya

Let $sy m^{2} f$ denote the symmetric square lift of a Hecke eigenform $f \in S_{k} (Γ_{0} (N))$ with the $n^{th}$ -Fourier coefficients $λ_{sy m^{2} f} (n)$ . In this article, we pro…

math.NT2024

First moment of Hecke eigenvalues at the integers represented by binary quadratic forms

Manish Kumar Pandey, Lalit vaishya

In the article, we consider a question concerning the estimation of summatory function of the Fourier coefficients of Hecke eigenforms indexed by a sparse set of integers. In parti…

math.NT2024

Construction of Jacobi forms using adjoint of Jacobi-Serre derivative

Mrityunjoy Charan, Lalit Vaishya

In the article, we study the Oberdieck derivative defined on the space of weak Jacobi forms. We prove that the Oberdieck derivative maps a Jacobi form to a Jacobi form. Moreover, w…

math.NT2023

Average behaviour of Hecke eigenvalues over certain polynomial

Lalit Vaishya

In the article, we investigate the average behaviour of normalised Hecke eigenvalues over certain polynomials and establish an estimate for the power moments of the normalised Heck…

math.NT2023

On the coefficients of $ℓ$ -fold product $L$ -function

Ayyadurai Sankaranarayanan, Lalit Vaishya

Let $f \in S_{k} (S L_{2} (Z))$ be a normalized Hecke eigenforms of integral weight $k$ for the full modular group. In the article, we study the average behaviour of Fourier co…