O. Balkanova

activity

20152024

most citedOn the mean value of symmetric square L-functions

15 citations · 39 across the 15 of their papers we have counts for

collaborators

Showing 2018Show all

5 papers · 1 filter

math.NT2018★ 4 cited

Mixed moment of $G L (2)$ and $G L (3)$ $L$ -functions

Olga Balkanova, Gautami Bhowmik, Dmitry Frolenkov +1

Let $f$ run over the space $H_{4 k}$ of primitive cusp forms of level one and weight $4 k$ , $k \in N$ . We prove an explicit formula for the mixed moment of the Hec…

math.NT2018★ 1 cited

Non-vanishing of Maass form L-functions at the critical point

Olga Balkanova, Bingrong Huang, Anders Södergren

In this paper, we consider the family ${L_{j} (s)}_{j = 1}^{\infty}$ of $L$ -functions associated to an orthonormal basis ${u_{j}}_{j = 1}^{\infty}$ of even Hecke-Maass forms for the mod…

math.NT2018

Prime geodesic theorem for the Picard manifold

Olga Balkanova, Dmitry Frolenkov

Let $Γ = P S L (2, Z [i])$ be the Picard group and $H^{3}$ be the three-dimensional hyperbolic space. We study the Prime Geodesic Theorem for the quotient $Γ ∖ H^{3}$ , called the Picar…

math.NT2018

Sums of Kloosterman sums in the prime geodesic theorem

Olga Balkanova, Dmitry Frolenkov

We develop a new method for studying sums of Kloosterman sums related to the spectral exponential sum. As a corollary, we obtain a new proof of the estimate of Soundararajan and Yo…

math.NT2018★ 8 cited

Bounds for a spectral exponential sum

Olga Balkanova, Dmitry Frolenkov

We prove new upper bounds for a spectral exponential sum by refining the process by which one evaluates mean values of $L$ -functions multiplied by an oscillating function. In parti…

Mixed moment of GL(2) and GL(3) L-functions

Non-vanishing of Maass form L-functions at the critical point

Prime geodesic theorem for the Picard manifold

Sums of Kloosterman sums in the prime geodesic theorem

Bounds for a spectral exponential sum

Mixed moment of $G L (2)$ and $G L (3)$ $L$ -functions