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Izvestiya: Mathematics, 2017, Volume 81, Issue 2, Pages 239–268
DOI: https://doi.org/10.1070/IM8426 (Mi im8426) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Asymptotic formulae for the second moments of $L$-series of holomorphic cusp forms on the critical line

V. A. Bykovskiia, D. A. Frolenkovba

a Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
English version PDF (407 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/IM8426
Abstract: We obtain new uniform asymptotic formulae for the second moments of $L$-series of cusp forms of even weight $2k\geqslant2$ with respect to the congruence subgroup $\Gamma_0(N)$.
Keywords: modular form, $L$-series of automorphic forms, convolution formula.
Funding agency Grant number
Russian Science Foundation 14-11-00335
The research was supported by the Russian Science Foundation (project no. 14-11-00335) in the Khabarovsk Division of the Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences.
Received: 06.07.2015
Revised: 25.03.2016
Bibliographic databases:
Document Type: Article
UDC: 511.334+511.335
MSC: 11M06
Language: English
Original paper language: Russian
Citation: V. A. Bykovskii, D. A. Frolenkov, “Asymptotic formulae for the second moments of $L$-series of holomorphic cusp forms on the critical line”, Izv. Math., 81:2 (2017), 239–268
Citation in format AMSBIB
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\by V.~A.~Bykovskii, D.~A.~Frolenkov
\paper Asymptotic formulae for the second moments of $L$-series of holomorphic cusp forms on the critical line
\jour Izv. Math.
\yr 2017
\vol 81
\issue 2
\pages 239--268
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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