In this topic course, assuming basic knowledge of algebraic number theory and com-mutative algebra, we pick topics from the theory of cyclotomic fields. Our treatment is elementary. We …

Introduction to Cyclotomic Fields, 2nd ed. By Lawrence C. Washington. Errata A list of corrections is being compiled and periodically updated here. Please send comments and corrections to …

A book that covers the basics of cyclotomic fields, their class groups, units, and Galois groups. It includes proofs, examples, and exercises on topics such as Gauss sums, Frobenius elements, …

Apr 1, 1982 · 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.

In number theory, a cyclotomic field is a number field obtained by adjoining a complex root of unity to , the field of rational numbers. [1] Cyclotomic fields played a crucial role in the development …

Aug 4, 2024 · 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 …

Units of Q((p) and Vandiver's conjecture. 9.1. The basic argument. 9.2. The theorems. 10.1. Some theorems on class groups. 10.2. Reflection theorems. 10.3. Consequences of Vandiver's …

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 …

Cyclotomic Fields Let \(\omega = e^{2 \pi i /m}\). Then every conjugate of \(\omega\) must be of the form \(\omega^k\) for some \(1 \le k \le m\) coprime to \(m\) (since every conjugate must …

Introduction to Cyclotomic Fields Lawrence C. Washington,2012-12-06 This text on a central area of number theory covers p-adic L- functions, class numbers, cyclotomic units, Fermat’s Last …

Jan 1, 1982 · 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.

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 …

Apr 1, 1982 · 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.

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 …

Jul 1, 2022 · This paper aims at studying the Iwasawa λ-invariant of the p -primary Selmer group. We study the growth behavior of p -primary Selmer groups in p -power degree extensions over …

Dec 6, 2012 · 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 …

Dec 6, 2012 · This book grew. out of lectures given at the University of Maryland in 1979/1980. The purpose was to give a treatment of p-adic L-functions and cyclotomic fields, including …

4 days ago · The authors exhibit some new families of cyclotomic fields which have non-trivial plus parts of their class numbers. They also prove the 3-divisibility of the plus part of the class …

6 hours ago · Working with the cyclotomic ℤ p subscript ℤ 𝑝 \mathds{Z}_{p} blackboard_Z start_POSTSUBSCRIPT italic_p end_POSTSUBSCRIPT-extension of ℚ ℚ \mathds{Q} …