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Iwasawa’s Theory and p-ADIC L-Functions for Imaginary Quadratic Fields

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Number Theory Related to Fermat’s Last Theorem

Part of the book series: Progress in Mathematics ((PM,volume 26))

Abstract

We would like to describe several results concerninq certain ℤ 2p -extensions which come from imaginary quadratic fields. The motivation for our results is to provide some evidence for a “two-variable main conjecture” that has been suggested at least in special cases by R. Yager in [12]. We will first describe various “main conjectures” that have been proposed over the years in a more general and unified way.

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References

  1. J. Coates. “p-Adic L-Functions and Iwasawa’s Theory,” Algebraic Number Fields, A. Fröhlich (ed. ), Academic Press (1977).

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  5. R. Greenberg, “Iwasawa’s Theory and p-Adic L-Functions for CM Fields,” in preparation.

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  10. S. Lang. Cyclotomic Fields, GTM 53, Springer-Verlag (1978).

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Author information

Authors and Affiliations

  1. University of Washington, Seattle, Washington, 98195, USA

    Ralph Greenberg

Authors
  1. Ralph Greenberg
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Washington, GN-50, 98195, Seattle, WA, USA

    Neal Koblitz

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© 1982 Springer Science+Business Media New York

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Greenberg, R. (1982). Iwasawa’s Theory and p-ADIC L-Functions for Imaginary Quadratic Fields. In: Koblitz, N. (eds) Number Theory Related to Fermat’s Last Theorem. Progress in Mathematics, vol 26. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4899-6699-5_19

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  • DOI: https://doi.org/10.1007/978-1-4899-6699-5_19

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-0-8176-3104-8

  • Online ISBN: 978-1-4899-6699-5

  • eBook Packages: Springer Book Archive

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