On effective determination of Maass forms from central values of   Rankin-Selberg $L$-function
  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 through the set of Hecke-Maass eigenforms of full level. We prove a quantitative result in this direction. 
Ritabrata Munshi and Jyoti Sengupta
math.NT