In this chapter, we prove a limit theorem dealing with weakly convergent probability measures for L-functions from the class S in the space of analytic functions. Throughout this chapter, we assume that L ∈ S. We remark that we will not make use of axiom (v), so the results hold in a more general context; however, with respect to later applications, there is no need to introduce a further class. We follow the presentation of Laurinčikas [187, 188] (functions in S form a subclass of Matsumoto zeta-functions considered herein). Besides, we refer the interested reader to Laurinčikas' survey [185] and his monograph [186].
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© 2007 Springer-Verlag Berlin Heidelberg
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(2007). Limit Theorems. 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_4
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DOI: https://doi.org/10.1007/978-3-540-44822-8_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-26526-9
Online ISBN: 978-3-540-44822-8
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