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.
Lower bound of Hecke eigenvalues of Maass form
Subhajit Jana
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