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

Ritabrata Munshi 1  and Jyoti Sengupta 2
  • 1 School of Mathematics, Tata institute of Fundamental Research, 1 Dr. Homi Bhabha Road, Colaba, Mumbai 400005, India
  • 2 School of Mathematics, Tata institute of Fundamental Research, 1 Dr. Homi Bhabha Road, Colaba, Mumbai 400005, India

Abstract

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,fh) where h runs through the set of Hecke–Maass eigenforms of full level. We prove a quantitative result in this direction.

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