Olga Balkanova

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math.NT2024

Hybrid subconvexity for Maass form symmetric-square $L$ -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 $L$ -functions $L (sym^{2} u_{j}, 1/2 + i t)$ on the short interva…

math.NT2024

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…

math.NT2016

A note on the binary additive divisor problem

Olga Balkanova, Dmitry Frolenkov

In this note we show that the methods of Motohashi and Meurman yield the same upper bound on the error term in the binary additive divisor problem. With this goal, we improve an es…

Hybrid subconvexity for Maass form symmetric-square L-functions

Asymptotics of a Gauss hypergeometric function related to moments of symmetric square L-functions I

A note on the binary additive divisor problem

Hybrid subconvexity for Maass form symmetric-square $L$ -functions