On effective determination of Maass forms from central values of Rankin-Selberg $L$-function

Ritabrata Munshi, Jyoti Sengupta

We address the problem of identifying a Hecke-Maass cusp form $f$ of full level from the central values of the Rankin-Selberg $L$-functions $L(1/2,f\otimes h)$ where $h$ runs throu…