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Matematicheskie Zametki, 2010, Volume 88, Issue 3, Pages 399–404
DOI: https://doi.org/10.4213/mzm8811 (Mi mzm8811) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Linear Twists of $L$-Functions of Degree 2 from the Selberg Class

J. Kaczorowskia, A. Perellib

a Adam Mickiewicz University
b University of Genova, Department of Mathematics
Full-text PDF (435 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm8811
Abstract: In 1983, S. M. Voronin obtain an analytic continuation to the entire complex plane for some twists of $L$-functions associated with holomorphic modular forms on $\mathrm{SL}(2,Z)$. In this paper, we extend Voronin's result to $L$-functions of degree $2$ from the extended Selberg class.
Keywords: $L$-function, holomorphic modular form, the group $\mathrm{SL}(2,Z)$, meromorphic function, quadratic irrational, Selberg class, Dirichlet coefficients.
Received: 26.11.2009
English version:
Mathematical Notes, 2010, Volume 88, Issue 3, Pages 360–364
DOI: https://doi.org/10.1134/S0001434610090087
Bibliographic databases:
Document Type: Article
UDC: 511.3
Language: Russian
Citation: J. Kaczorowski, A. Perelli, “Linear Twists of $L$-Functions of Degree 2 from the Selberg Class”, Mat. Zametki, 88:3 (2010), 399–404; Math. Notes, 88:3 (2010), 360–364
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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