3 papers
math.NT2025
Oscillations and first-ever negative Fourier coefficients of symmetric square L-functions over sparse set
Srinivas Kotyada, Lalit Vaishya
Let denote the symmetric square lift of a Hecke eigenform with the -Fourier coefficients . In this article, we pro…
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 by a sum of triangular n…