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Dirichlet L-series and Class Number Formulas

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Introduction to Cyclotomic Fields

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 83))

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Abstract

In this chapter we review some of the basic facts about L-series. Then their values at negative integers are given in terms of generalized Bernoulli numbers. Finally, we discuss the values at 1 and relations with class numbers.

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© 1982 Springer-Verlag New York Inc.

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Washington, L.C. (1982). Dirichlet L-series and Class Number Formulas. In: Introduction to Cyclotomic Fields. Graduate Texts in Mathematics, vol 83. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-0133-2_4

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  • DOI: https://doi.org/10.1007/978-1-4684-0133-2_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4684-0135-6

  • Online ISBN: 978-1-4684-0133-2

  • eBook Packages: Springer Book Archive

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