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math.NT2020
Spectral decomposition formula and moments of symmetric square L-functions
Olga Balkanova
We prove a spectral decomposition formula for averages of Zagier L-series in terms of moments of symmetric square L-functions associated to Maass and holomorphic cusp forms of leve…
math.NT2020★ 3 cited
The second moment of symmetric square L-functions over Gaussian integers
Olga Balkanova, Dmitry Frolenkov
We prove a new upper bound on the second moment of Maass form symmetric square L-functions defined over Gaussian integers. Combining this estimate with the recent result of Balog-B…