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

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

2012-03-28

arxiv.org/abs/1203.6327v1

Mathematics

Number Theory

12 pages

Scientific paper

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.

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