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Iwasawa theory and its perspectives. Volume 1 / Tadashi Ochiai

By: Resource type: Ressourcentyp: BuchBookLanguage: English Original language: Japanese Series: Mathematical surveys and monographs ; volume 272Set: Iwasawa theory and its perspectives.Publisher: Providence, Rhode Island : American Mathematical Society, [2023]Description: ix, 154 SeitenISBN:
  • 9781470456726
Subject(s): Additional physical formats: 9781470473259. | Erscheint auch als: Iwasawa theory and its perspective. Online-Ausgabe Providence, Rhode Island : American Mathematical Society, 2023. 1 online resourceDDC classification:
  • 512.7/4 23/eng20230317
MSC: MSC: 11R32Summary: Iwasawa theory began in the late 1950s with a series of papers by Kenkichi Iwasawa on ideal class groups in the cyclotomic tower of number fields and their relation to p-adic L-functions. The theory was later generalized by putting it in the context of elliptic curves and modular forms. The main motivation for writing this book was the need for a total perspective of Iwasawa theory that includes the new trends of generalized Iwasawa theory. Another motivation of this book is an update of the classical theory for class groups taking into account the changed point of view on Iwasawa theory. The goal of this first part of the two-part 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.PPN: PPN: 1847020208
Holdings
Item type Home library Shelving location Call number Status Barcode
Freihandbestand ausleihbar Fachbibliothek Mathematik Bibliothek / frei aufgestellt Zahlentheor. / Och Available 36541846090
Total holds: 0
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