15 citations · 39 across the 15 of their papers we have counts for
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Prime Geodesic Theorem in the 3-dimensional Hyperbolic Space
Olga Balkanova, Dimitrios Chatzakos, Giacomo Cherubini +2
For a cofinite Kleinian group acting on , we study the Prime Geodesic Theorem on , which asks about the asymptotic behaviour of length…
A Mean Value Result for a Product of GL(2) and GL(3) L-Functions
Olga Balkanova, Gautami Bhowmik, Dmitry Frolenkov +1
In this paper various analytic techniques are com- bined in order to study the average of a product of a Hecke L- function and a symmetric square L-function at the central point in…
Convolution formula for the sums of generalized Dirichlet L-functions
Olga Balkanova, Dmitry Frolenkov
Using the Kuznetsov trace formula, we prove a spectral decomposition for the sums of generalized Dirichlet -functions. Among applications are an explicit formula relating norms…
The first moment of cusp form L-functions in weight aspect on average
Olga Balkanova, Dmitry Frolenkov
We study the asymptotic behaviour of the twisted first moment of central -values associated to cusp forms in weight aspect on average. Our estimate of the error term allows exte…