Dmitry Frolenkov

collaborators

4 papers

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

The second moment of Maass form symmetric square L-functions at the central point

Dmitry Frolenkov

Recently R.Khan and M.Young proved a mean Lindelöf estimate on the second moment of central values of Maass form symmetric-square $L$ -function on the interval $T < ∣ t_{j} ∣ < T + T^{1/5 + ε}$ …

math.NT2024

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

Dmitry Frolenkov

We prove an asymptotic formula for $F (1/4 - i t + i r, 1/4 - i t - i r, 1/2; x)$ as $r, t \to \infty$ and $α = r / t \to 0.$ This special case of the Gauss hypergeometric function appears in…

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

The second moment of Maass form symmetric square L-functions at the central point

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

A note on the binary additive divisor problem

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

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