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Introduction to Cyclotomic Fields is a carefully written exposition of a central area of number theory that can be used as a second course in algebraic number theory. Starting at an elementary level, the volume covers p-adic L-functions, class numbers, cyclotomic units, Fermat's Last Theorem, and Iwasawa's theory of Z_p-extensions, leading the reader to an understanding of modern research literature. Many exercises are included.
The second edition includes a new chapter on the work of Thaine, Kolyvagin, and Rubin, including a proof of the Main Conjecture. There is also a chapter giving other recent developments, including primality testing via Jacobi sums and Sinnott's proof of the vanishing of Iwasawa's f-invariant.
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This text on a central area of number theory covers p-adic L-functions, class numbers, cyclotomic units, Fermat’s Last Theorem, and Iwasawa’s theory of Z_p-extensions. This edition contains a new chapter on the work of Thaine, Kolyvagin, and Rubin, including a proof of the Main Conjecture, as well as a chapter on other recent developments, such as primality testing via Jacobi sums and Sinnott’s proof of the vanishing of Iwasawa’s f-invariant.
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Introduction to Cyclotomic Fields (Graduate Texts in Mathematics, 83)
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Introduction to Cyclotomic Fields
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Introduction to Cyclotomic Fields
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ISBN 10: 1461273463
ISBN 13: 9781461273462
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Taschenbuch. Zustand: Neu. Neuware -Introduction to Cyclotomic Fields is a carefully written exposition of a central area of number theory that can be used as a second course in algebraic number theory. Starting at an elementary level, the volume covers p-adic L-functions, class numbers, cyclotomic units, Fermat's Last Theorem, and Iwasawa's theory of Z_p-extensions, leading the reader to an understanding of modern research literature. Many exercises are included.The second edition includes a new chapter on the work of Thaine, Kolyvagin, and Rubin, including a proof of the Main Conjecture. There is also a chapter giving other recent developments, including primality testing via Jacobi sums and Sinnott's proof of the vanishing of Iwasawa's f-invariant.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 508 pp. Englisch. Artikel-Nr. 9781461273462
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Introduction to Cyclotomic Fields
Verlag:
Springer New York, Springer US, 2012
ISBN 10: 1461273463
ISBN 13: 9781461273462
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Introduction to Cyclotomic Fields is a carefully written exposition of a central area of number theory that can be used as a second course in algebraic number theory. Starting at an elementary level, the volume covers p-adic L-functions, class numbers, cyclotomic units, Fermat's Last Theorem, and Iwasawa's theory of Z_p-extensions, leading the reader to an understanding of modern research literature. Many exercises are included. The second edition includes a new chapter on the work of Thaine, Kolyvagin, and Rubin, including a proof of the Main Conjecture. There is also a chapter giving other recent developments, including primality testing via Jacobi sums and Sinnott's proof of the vanishing of Iwasawa's f-invariant. Artikel-Nr. 9781461273462
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Introduction to Cyclotomic Fields
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Introduction to Cyclotomic Fields (Volume 83)
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Zustand: New. Series: Graduate Texts in Mathematics. Num Pages: 504 pages, 14 black & white tables, biography. BIC Classification: PBH. Category: (P) Professional & Vocational. Dimension: 234 x 154 x 30. Weight in Grams: 752. . 2012. 2nd Edition. paperback. . . . . Books ship from the US and Ireland. Artikel-Nr. V9781461273462
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