3 papers
math.NT2016
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…
math.NT2016
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…
math.NT2016
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.…