Geodesic
A uniform asymptotic formula for the second moment of primitive $L$-functions on the critical line
Informatics and Automation, Modern problems of mathematics, mechanics, and mathematical physics. II, Tome 294 (2016), pp. 20-53.

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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. 
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Olga G. Balkanova; Dmitry A. Frolenkov. A uniform asymptotic formula for the second moment of primitive $L$-functions on the critical line. Informatics and Automation, Modern problems of mathematics, mechanics, and mathematical physics. II, Tome 294 (2016), pp. 20-53. http://geodesic.mathdoc.fr/item/TRSPY_2016_294_a1/

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