L. Vaishya

activity

20192026

most citedFigurate numbers, forms of mixed type and their representation numbers

1 citations · 1 across the 11 of their papers we have counts for

collaborators

11 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 $f \in S_{k} (Γ_{0} (N))$ 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…

math.NT2023

Elliptic curve over totally real fields: A Survey

Bidisha Roy, Lalit Vaishya

In this survey article, we summarise the known results towards the conjecture: elliptic curves over totally real number fields are modular. For understanding these recent results i…

math.NT2023★ 1 cited

Figurate numbers, forms of mixed type and their representation numbers

B. Ramakrishnan, Lalit Vaishya

In this article, we consider the problem of determining formulas for the number of representations of a natural number $n$ by a sum of figurate numbers with certain positive intege…

math.NT2022

Estimates for the shifted convolution sum involving Fourier coefficients of cusp forms of half-integral weight

Abash Kumar Jha, Lalit Vaishya

In this article, we obtain certain estimate for the shifted convolution sum involving the Fourier coefficients of half-integral weight cusp forms.

math.NT2022

Average estimates and sign change of Fourier coefficients of cusp forms at integers represented by binary quadratic form of fixed discriminant

Lalit Vaishya

In this article, we establish an average behaviour of the normalised Fourier coefficients of the Hecke eigenforms supported at the integers represented by any primitive integral po…

math.NT2019

On triangular numbers, forms of mixed type and their representation numbers

B. Ramakrishnan, Lalit Vaishya

In \cite{ono}, K. Ono, S. Robins and P.T. Wahl considered the problem of determining formulas for the number of representations of a natural number $n$ by a sum of $k$ triangular n…

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

Construction of Jacobi forms using adjoint of Jacobi-Serre derivative

Average behaviour of Hecke eigenvalues over certain polynomial

On the coefficients of ℓ-fold product L-function

Elliptic curve over totally real fields: A Survey

Figurate numbers, forms of mixed type and their representation numbers

Estimates for the shifted convolution sum involving Fourier coefficients of cusp forms of half-integral weight

Average estimates and sign change of Fourier coefficients of cusp forms at integers represented by binary quadratic form of fixed discriminant

On triangular numbers, forms of mixed type and their representation numbers

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

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