In 1989, Selberg defined a rather general class S of Dirichlet series having an Euler product, analytic continuation and a functional equation of Riemanntype, and formulated some fundamental conjectures concerning them. His aim was to study the value-distribution of linear combinations of L-functions. In the meantime, this so-called Selberg class became an important object of research, but still it is not understood very well. In this chapter, we shall investigate universality for functions in the Selberg class. Therefore, we only present results on this class which are related to our studies; for detailed surveys on the Selberg class, we refer to Kaczorowski and Perelli [160], Perelli [290], and M.R. Murty and V.K. Murty [270].
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© 2007 Springer-Verlag Berlin Heidelberg
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(2007). The Selberg Class. In: Value-Distribution of L-Functions. Lecture Notes in Mathematics, vol 1877. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44822-8_6
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DOI: https://doi.org/10.1007/978-3-540-44822-8_6
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