In this chapter, we briefly present facts from probability theory which will be used later. These results can be found in the monographs of Billingsley [21, 22], Buldygin [45], Cramèr and Leadbetter [64], Heyer [133], Laurinčikas [186], and Loève [226]. However, there are two exceptions in this crash course in probability theory. In Sect. 3.3 we present Denjoy's heuristic probabilistic argument for the truth of Riemann's hypothesis. Finally, in Sect. 3.7, we introduce the universe for our later studies on universality, the space of analytic functions, and state some of its properties, following Conway [62] and Laurinčikas [186].
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© 2007 Springer-Verlag Berlin Heidelberg
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(2007). Interlude: Results from Probability Theory. 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_3
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DOI: https://doi.org/10.1007/978-3-540-44822-8_3
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