Email this article A uniform asymptotic formula for the second moment of primitive L-functions on the critical line
- Authors: Balkanova O.G.1, Frolenkov D.A.2
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Affiliations:
- Khabarovsk Division of the Institute of Applied Mathematics
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 294, No 1 (2016)
- Pages: 13-46
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/173889
- DOI: https://doi.org/10.1134/S008154381606002X
- ID: 173889
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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.
About the authors
Olga G. Balkanova
Khabarovsk Division of the Institute of Applied Mathematics
Author for correspondence.
Email: olgabalkanova@gmail.com
Russian Federation, ul. Dzerzhinskogo 54, Khabarovsk, 680000
Dmitry A. Frolenkov
Steklov Mathematical Institute of Russian Academy of Sciences
Email: olgabalkanova@gmail.com
Russian Federation, ul. Gubkina 8, Moscow, 119991
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