Olga G. Balkanova, Dmitry A. Frolenkov, “A uniform asymptotic formula for the second moment of primitive <nobr>$L$</nobr>-functions on the critical line”, Trudy Mat. Inst. Steklova, 2016, Volume 294,Pages <nobr>20

This article is cited in 5 papers

A uniform asymptotic formula for the second moment of primitive $L$-functions on the critical line

Olga G. Balkanova^a, Dmitry A. Frolenkov^b

^a Khabarovsk Division of the Institute of Applied Mathematics, Far Eastern Branch of the Russian Academy of Sciences, ul. Dzerzhinskogo 54, Khabarovsk, 680000 Russia
^b Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia

Abstract: We prove an asymptotic formula for the second moment of primitive $L$-functions of even weight and prime power level. The error term is estimated uniformly in all parameters: level, weight, shift, and twist.

UDC: 511.321+511.331.1+511.381+511.384.6

Received: April 19, 2016

DOI: 10.1134/S037196851603002X