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

Ritabrata Munshi; Jyoti Sengupta

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

Number Theory 2012-03-29 v1

Authors: Ritabrata Munshi , Jyoti Sengupta

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 $L(1/2,f\otimes h)$ where $h$ runs through the set of Hecke-Maass eigenforms of full level. We prove a quantitative result in this direction.

Keywords

Maass forms Rankin-Selberg L-function central values Hecke-Maass cusp form full level quantitative result

Cite

@article{arxiv.1203.6327,
  title  = {On effective determination of Maass forms from central values of Rankin-Selberg $L$-function},
  author = {Ritabrata Munshi and Jyoti Sengupta},
  journal= {arXiv preprint arXiv:1203.6327},
  year   = {2012}
}

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12 pages

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