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Titlebook: Emil Artin and Helmut Hasse; The Correspondence 1 Günther Frei,Franz Lemmermeyer,Peter J. Roquette Book 2014 Springer Basel 2014 Artin‘s re

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5. Class Field TheoryIt is not our intention to present the history of class field theory here; for this we refer e.g. to Hasse [Has66], Frei [Fre89] and Iyanaga [Iya75, App. 2], [Iya06]. Our goal is to collect the most basic results used by Artin and Hasse, in the terminology used in the 1920s.
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Materials, Properties, and Basic Formulas, aim is to present the most important results on which Artin and Hasse built their work, and we will do so in the terminology that was being used at the beginning of the 20th century, in particular in Artin’s letters.
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Emil Artin and Helmut Hasse978-3-0348-0715-9Series ISSN 2191-303X Series E-ISSN 2191-3048
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https://doi.org/10.1007/978-3-0348-0715-9Artin‘s reciprocity law; Emil Artin; Helmut Hasse; L-series; class field theory
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