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math.NT2019★ 1 cited
Prime geodesics and averages of the Zagier -series
Olga Balkanova, Dmitry Frolenkov, Morten S. Risager
The Zagier -series encode data of real quadratic fields. We study the average size of these -series, and prove asymptotic expansions and omega results for the expansion. We t…
math.NT2019
The first moment of Maass form symmetric square L-functions
Olga Balkanova
We prove an asymptotic formula for the twisted first moment of Maass form symmetric square L-functions on the critical line and at the critical point. The error term is estimated u…