4 papers
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…
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 interv…
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…