15 citations · 39 across the 15 of their papers we have counts for
24 papers
Hybrid subconvexity for Maass form symmetric-square -functions
Olga Balkanova, Dmitry Frolenkov
Recently R. Khan and M. Young proved a mean Lindelöf estimate for the second moment of Maass form symmetric-square -functions on the short interva…
Asymptotics of a Gauss hypergeometric function related to moments of symmetric square L-functions I
Olga Balkanova
We prove an asymptotic formula for a special case of the Gauss hypergeometric function which arises in explicit formulas for moments of Maass form symmetric square L-functions. The…
The shifted fourth moment of modular form L-functions in the weight aspect
Olga Balkanova, Dmitry Frolenkov
We prove a reciprocity type formula for the fourth moment of L-functions associated to holomorphic primitive cusp forms of level one and large weight which relates it to the eighth…
On Weyl's Subconvex Bound for Cube-Free Hecke characters: Totally Real Case
Olga Balkanova, Dmitry Frolenkov, Han Wu
We prove a Weyl-type subconvex bound for cube-free level Hecke characters over totally real number fields. Our proof relies on an explicit inversion to Motohashi's formula. Schwart…
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…
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…