J. Kaczorowski, A. Perelli, “Linear Twists of <nobr>$L$</nobr>-Functions of Degree 2 from the Selberg Class”, Mat. Zametki, 2010, Volume 88, Issue 3,Pages <nobr>399

This article is cited in 1 paper

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

J. Kaczorowski^a, A. Perelli^b

^a Adam Mickiewicz University
^b University of Genova, Department of Mathematics

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.

UDC: 511.3

Received: 26.11.2009

DOI: 10.4213/mzm8811