Iwasawa theory and its perspective. Volume 1 /

"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 ma...

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Bibliographic Details
Main Authors: 落合, 理 (1972-) (Author)
Published: American Mathematical Society,
Publisher Address: Providence, Rhode Island :
Publication Dates: 2023.
Literature type: Book
Language: English
Japanese
Edition: English edition.
Series: Mathematical surveys and monographs, volume 272
Subjects:
Summary: "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." --
Item Description: "Originally published in 2014 and 2016 by Iwanami Shoten, Publishers, Tokyo."
Volume 1 of 2. (Preface, page vii)
Carrier Form: ix, 154 pages : illustrations ; 26 cm.
Bibliography: Includes bibliographical references (pages 145-151) and index.
ISBN: 9781470456726
1470456729
Index Number: QA247
CLC: O153.4
Call Number: O153.4/O163/v.1