Double weighted sum involving $\mathrm{GL}(2)$ Fourier coefficients

Himanshi Chanana, Mohd Harun

This article proves non-trivial estimates for a bilinear sum involving the Fourier coefficients of a Hecke-holomorphic or Hecke-Maass cusp form for $\mathrm{SL}(2,\mathbb{Z})$. As…