Large Sums of Fourier Coefficients of Cusp Forms

Claire Frechette, Mathilde Gerbelli-Gauthier, Alia Hamieh +1

Let $N$ be a fixed positive integer, and let $f\in S_k(N)$ be a primitive cusp form given by the Fourier expansion $f(z)={\sum }_{n=1}^{\infty }{\lambda }_f(n)n^{\frac{k-1}{2}}e(nz)$. We consi…