D. Frolenkov

activity

20162026

most citedOn the mean value of symmetric square L-functions

15 citations · 43 across the 15 of their papers we have counts for

collaborators

Showing 2024Show all

4 papers · 1 filter

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.NT2024

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…

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

The shifted fourth moment of modular form L-functions in the weight aspect

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

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