**Lectures on Topics in Algebraic Number Theory**

by Sudhir R. Ghorpade

**Publisher**: Indian Institute of Technology, Bombay 2002**Number of pages**: 83

**Description**:

These lectures are aimed at giving 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.

Download or read it online for free here:

**Download link**

(1.5MB, PDF)

## Similar books

**A Course In Algebraic Number Theory**

by

**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 Kummerâ€™s theorem, the factorization of prime ideals in Galois extensions, local and global fields, etc.

(

**9923**views)

**Algebraic Number Theory**

by

**J.S. Milne**

Contents: Preliminaries From Commutative Algebra; Rings of Integers; Dedekind Domains; Factorization; The Finiteness of the Class Number; The Unit Theorem; Cyclotomic Extensions; Fermat's Last Theorem; Valuations; Local Fields; Global Fields.

(

**9711**views)

**Heegner Points and Rankin L-Series**

by

**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.

(

**4870**views)

**Lectures on Field Theory and Ramification Theory**

by

**Sudhir R. Ghorpade**-

**Indian Institute of Technology, Bombay**

These are notes of a series of lectures, aimed at covering the essentials of Field Theory and Ramification Theory as may be needed for local and global class field theory. Included are the two sections on cyclic extensions and abelian extensions.

(

**5314**views)