Notes on the Theory of Algebraic Numbers
by Steve Wright
Publisher: arXiv 2015
Number of pages: 127
Description:
This is a series of lecture notes on the elementary theory of algebraic numbers, using only knowledge of a first-semester graduate course in algebra (primarily groups and rings). No prerequisite knowledge of fields is required.
Download or read it online for free here:
Download link
(710KB, PDF)
Similar books
Lectures on Topics in Algebraic Number Theoryby Sudhir R. Ghorpade - Indian Institute of Technology, Bombay
These lecture notes give a rapid introduction to some basic aspects of Algebraic Number Theory with as few prerequisites as possible. Topics: Field Extensions; Ring Extensions; Dedekind Domains and Ramification Theory; Class Number and Lattices.
(12270 views)
A Course In Algebraic Number Theoryby Robert B. Ash - University of Illinois
Basic course in algebraic number theory. It covers the general theory of factorization of ideals in Dedekind domains, the use of Kummer’s theorem, the factorization of prime ideals in Galois extensions, local and global fields, etc.
(18612 views)
An Introduction to Algebraic Number Theoryby F. Oggier - Nanyang Technological University
Contents: Algebraic numbers and algebraic integers (Rings of integers, Norms and Traces); Ideals (Factorization and fractional ideals, The Chinese Theorem); Ramification theory; Ideal class group and units; p-adic numbers; Valuations; p-adic fields.
(12299 views)
Heegner Points and Rankin L-Seriesby Henri Darmon, Shou-Wu Zhang - Cambridge University Press
This volume has the Gross-Zagier formula and its avatars as a common unifying theme. It covers the theory of complex multiplication, automorphic forms, the Rankin-Selberg method, arithmetic intersection theory, Iwasawa theory, and other topics.
(11017 views)