Abstract
We approach the analytic side of class field theory with more limited objectives than usual, with only the intention of seeing why classical class field theory could not remain “purely algebraic” (assuming this was desirable). Since the modern analytic methods have become so diffuse from the classical standpoint, the present chapter, unlike earlier ones, cannot be reasonably taken to be a motivation for contemporary developments in the analytic theory.
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© 1978 Springer-Verlag New York Inc.
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Cohn, H. (1978). The Zeta-Function. In: A Classical Invitation to Algebraic Numbers and Class Fields. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-9950-9_19
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DOI: https://doi.org/10.1007/978-1-4612-9950-9_19
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-90345-3
Online ISBN: 978-1-4612-9950-9
eBook Packages: Springer Book Archive