Introduction to Cyclotomic Fields/ Lawrence C. Washington

By:

Washington, Lawrence C

978-0387947624

Subject(s):

Cyclotomic Fields

DDC classification:

512.74 WasI

Summary: 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.

List(s) this item appears in: New Arrivals 01st-15th April 2026, Vol. 07, Issue 06

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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Barcode
Books	Indian Institute of Technology Tirupati General Stacks	Mathematics	512.74 WasI (12525) (Browse shelf(Opens below))	1	Available	12525

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Previous	512.74 MUR/P Problems in algebraic number theory /	512.74 NEU/A Algebraic number theory /	512.74 SouF Finite Fields, with Applications to Combinatorics /	512.74 WasI (12525) Introduction to Cyclotomic Fields/	512.76 KOW/I An Introduction to Probabilistic Number Theory	512.8 ZhaP Problems in Linear Algebra and Matrix Theory /	512.81 CHA/I Introduction to analytic number theory	Next

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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