Abstract
In this chapter two apparently different kinds of L-functions are introduced: Dirichlet and Artin L-functions. The main motivation is Dedekind’s Class Number Formula, one of the highlights of nineteenth century number theory. This formula contains, among other things, an important entity, the regulator. This regulator and its generalizations will play a fundamental role in some of the most intriguing conjectures on L-functions of recent times. These conjectures, due to A. Beilinson, will be discussed in later chapters.
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References and Suggestions for Further Reading
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© 1994 Springer Fachmedien Wiesbaden
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Hulsbergen, W.W.J. (1994). The zero-dimensional case: number fields. In: Conjectures in Arithmetic Algebraic Geometry. Aspects of Mathematics, vol 18. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-09505-7_2
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DOI: https://doi.org/10.1007/978-3-663-09505-7_2
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
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