Abstract
In Chapter 2 we had occasion to mention groups but made no essential use of their properties. Now we wish to discuss some elementary aspects of group theory in more detail. In Chapter 7 our discussion of Dirichlet’s theorem on primes in arithmetical progressions will require a knowledge of certain arithmetical functions called Dirichlet characters. Although the study of Dirichlet characters can be undertaken without any knowledge of groups, the introduction of a minimal amount of group theory places the theory of Dirichlet characters in a more natural setting and simplifies some of the discussion.
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© 1976 Springer Science+Business Media New York
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Apostol, T.M. (1976). Finite Abelian Groups and Their Characters. In: Introduction to Analytic Number Theory. Undergraduate Texts in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-28579-4_7
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DOI: https://doi.org/10.1007/978-3-662-28579-4_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-90163-1
Online ISBN: 978-3-662-28579-4
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