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math.NT2024
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 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…