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Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2025, Volume 89, Issue 6, Pages 183–205
DOI: https://doi.org/10.4213/im9640
(Mi im9640)
 

The second moment of Maass form symmetric square L-functions at the central point

D. Frolenkov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
References:
Abstract: Recently R.Khan and M.Young proved a mean Lindelöf estimate on the second moment of central values of Maass form symmetric-square $L$-function on the interval $T<|t_j|<T+T^{1/5+\epsilon}$, where $t_j$ is a spectral parameter of the Maass form. We provide another proof of this result.
Keywords: $L$-functions, moments, Maass forms.
Funding agency Grant number
Russian Science Foundation 24-71-10005
Received: 12.08.2024
Revised: 01.09.2024
Published: 01.12.2025
Document Type: Article
UDC: 511.381+511.352
MSC: Primary 11F12, 11F37; Secondary 11M99
Language: Russian
Citation: D. Frolenkov, “The second moment of Maass form symmetric square L-functions at the central point”, Izv. Math., 89:6 (2025)
Citation in format AMSBIB
\Bibitem{Fro25}
\by D.~Frolenkov
\paper The second moment of Maass form symmetric
square L-functions at the central point
\jour Izv. Math.
\yr 2025
\vol 89
\issue 6
\mathnet{http://mi.mathnet.ru/eng/im9640}
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  • https://www.mathnet.ru/eng/im/v89/i6/p183
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