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Subhajit Jana
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Lower bound of Hecke eigenvalues of Maass form

If $f$ is a Maass form and $p$-Hecke eigenvalue (i.e. Hecke eigenvalue of usual Hecke operator $T_p$) of $f$ is $\lambda_f(p)$, do we know anything about lower bound of the sum$$S(x) = \sum_{p\le x}|\lambda_f(p)|^2?$$ Any referecne would be highly helpful.

Subhajit Jana
  • 1.7k
  • 1
  • 12
  • 18