15 citations · 39 across the 15 of their papers we have counts for
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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…
On the mean value of symmetric square L-functions
Olga Balkanova, Dmitry Frolenkov
This paper studies the first moment of symmetric-square -functions at the critical point in the weight aspect. Asymptotics with the best known error term were obta…
Moments of L-functions and Liouville-Green method
Olga Balkanova, Dmitry Frolenkov
We show that the percentage of primitive forms of level one and weight for which the associated -function at the central point is no less than $(\log{k})^…
Non-vanishing of automorphic L-functions of prime power level
Olga Balkanova, Dmitry Frolenkov
Iwaniec and Sarnak showed that at the minimum 25% of L-values associated to holomorphic newforms of fixed even integral weight and level do not vanish at the…
A uniform asymptotic formula for the second moment of primitive L-functions on the critical line
Olga Balkanova, Dmitry Frolenkov
We prove an asymptotic formula for the second moment of automorphic L-functions of even weight and prime power level. The error term is estimated uniformly in all parameters: level…
New error term for the fourth moment of automorphic L functions
Olga Balkanova, Dmitry Frolenkov
We improve the error term in the asymptotic formula for the twisted fourth moment of automorphic L functions of prime level and weight two proved by Kowalski, Michel and Vanderkam.…