L. Vaishya

activity

20242026

collaborators

3 papers

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

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 $f \in S_{k} (I^_{0} (N))$ with the $n^{th}$ -Fourier coefficients $I^»_{sy m^{2} f} (n)$ . In this article, we p…

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…

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

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

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

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