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 $f\in S_k({\Gamma }_0(N))$ with the $n^{\mathrm{th}}$-Fourier coefficients ${\lambda }_{sy{m}^{2}f}(n)$. In this article, we pro…