Description

Book Synopsis
The goal of this publication is to explain the theory of ideal class groups, including its algebraic aspect (the Iwasawa class number formula), its analytic aspect (Leopoldt-Kubota $L$-functions), and the Iwasawa main conjecture, which is a bridge between the algebraic and the analytic aspects.

Table of Contents
  • Motivation and utility of Iwasawa theory
  • $\mathbb{Z}_p$-extension and Iwasawa algebra
  • Cyclotomic Iwasawa theory for ideal class groups
  • Bookguide
  • Appendix A
  • References
  • Index

Iwasawa Theory and Its Perspective Volume 1

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    Order before 4pm tomorrow for delivery by Wed 24 Jun 2026.

    A Paperback by Tadashi Ochiai

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      View other formats and editions of Iwasawa Theory and Its Perspective Volume 1 by Tadashi Ochiai

      Publisher: American Mathematical Society
      Publication Date: 1/25/2023 12:07:00 AM
      ISBN13: 9781470456726, 978-1470456726
      ISBN10: 1470456729
      Also in:
      Algebraic geometry Number theory

      Description

      Book Synopsis
      The goal of this publication is to explain the theory of ideal class groups, including its algebraic aspect (the Iwasawa class number formula), its analytic aspect (Leopoldt-Kubota $L$-functions), and the Iwasawa main conjecture, which is a bridge between the algebraic and the analytic aspects.

      Table of Contents
      • Motivation and utility of Iwasawa theory
      • $\mathbb{Z}_p$-extension and Iwasawa algebra
      • Cyclotomic Iwasawa theory for ideal class groups
      • Bookguide
      • Appendix A
      • References
      • Index

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