In this chapter, we shall obtain universality for many classical L-functions, including Dedekind zeta-functions as well as Hecke and Artin L-functions. Further, we shall briefly discuss the arithmetic axioms in the definition of S with respect to the Langlands program. We give only a sketch of the analytic theory of all these L-functions and refer to Bump et al. [47] for further details. For details from algebraic number theory we refer to Heilbronn's survey [129], the monographs of Murty and Murty [270], of Neukirch [279], and, last but not least, Stark's article [337].
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© 2007 Springer-Verlag Berlin Heidelberg
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(2007). L-Functions of Number Fields. 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_13
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DOI: https://doi.org/10.1007/978-3-540-44822-8_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-26526-9
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