O. Balkanova

activity

20152024

most citedOn the mean value of symmetric square L-functions

15 citations · 39 across the 15 of their papers we have counts for

collaborators

Showing 2024Show all

3 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

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.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

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

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

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