Abstract
“The zeta function knows everything about the number field. We just have to prevail on it to tell us” (G. Harder). These words briefly express one of the most remarkable phenomena in number theory, namely, that many of the inner arithmetic properties of an algebraic number field are concealed in a single complex analytic function, the zeta function. The basic prototype of such a function is the Riemann zeta function
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© 1986 Springer-Verlag Berlin Heidelberg
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Neukirch, J. (1986). Zeta Functions and L-Series. In: Class Field Theory. Grundlehren der mathematischen Wissenschaften, vol 280. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82465-4_5
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DOI: https://doi.org/10.1007/978-3-642-82465-4_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-82467-8
Online ISBN: 978-3-642-82465-4
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