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Complex Analytic Class Number Formulas

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Cyclotomic Fields

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 59))

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Abstract

The complex analytic class number formulas date back to the 19th century. They relate class numbers of cyclotomic fields and units. They arise by factoring the zeta function of a cyclotomic field in L-series, and looking at the factorization of the residue.

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© 1978 Springer-Verlag, New York Inc.

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Lang, S. (1978). Complex Analytic Class Number Formulas. In: Cyclotomic Fields. Graduate Texts in Mathematics, vol 59. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-9945-5_3

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  • DOI: https://doi.org/10.1007/978-1-4612-9945-5_3

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-9947-9

  • Online ISBN: 978-1-4612-9945-5

  • eBook Packages: Springer Book Archive

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