bibliography for number theory

bibliography for number theory

References for Number Theory, MSC 11

The following are excellent sources for the indicated areas in

Number Theory

.

Elementary Number Theory, MSC 11A

1.

G. H. Hardy, E. M. Wright,

An

Introduction

To The Theory Of Numbers

, Oxford University Press, London.

An introductory book which is both comprehensive and comprehensible.

2.

K. Ireland, M. Rosen,

A Classical Introduction to Modern Number Theory

, Springer-Verlag, 1998.

Sequences and sets, MSC 11B

1.

Halberstam and Roth,

Sequences

, Oxford Clarendon Press

This well-written book is somewhat outdated by now, but it is an excellent source to learn the basics from.

2.

Nathanson,

Inverse Problems and Geometry of Sumsets

, Springer

The inverse problem in

additive number theory

is the problem of inferring the

structure

of summands from the structure of the sumset. The book is the most

complete

source for information on such problems.

Diophantine equations, MSC 11D

1.

K. Ireland, M. Rosen,

A Classical Introduction to Modern Number Theory

, Springer-Verlag, 1998.

Arithmetic algebraic geometry (Diophantine geometry), MSC 11G

1.

K. Ireland, M. Rosen,

A Classical Introduction to Modern Number Theory

, Springer-Verlag, 1998.

Exponential sums and character sums, MSC 11L

1.

E. C. Titchmarsh,

The Theory of the Riemann Zeta-function

. second ed. Oxford Science Pub. 1986

The book covers the classical methods of Weyl, van der Corput/Phillips as well as mean-value method of Vinogradov.

Multiplicative number theory, MSC 11N

1.

Davenport,

Multiplicative number theory

. Markham Publishing Comp., Chicago.

Carefully written and motivated introduction to the multiplicative number theory.

Algebraic Number Theory: Global Fields, MSC 11R

1.

Serge Lang,

Algebraic Number Theory

. Springer-Verlag, New York.

2.

Daniel A. Marcus,

Number Fields

, Springer, New York.

3.

K. Ireland, M. Rosen,

A Classical Introduction to Modern Number Theory

, Springer-Verlag, 1998.

Cyclotomic Extensions, MSC 11R18

1.

Lawrence C. Washington,

Introduction to

Cyclotomic Fields

, Springer-Verlag, New York.

Galois Cohomology, MSC 11R34

1.

J. P. Serre,

Galois Cohomology

, Springer-Verlag, New York.

Algebraic Number Theory: Local Fields and

p

-adic Fields, MSC 11S

1.

Serge Lang,

Algebraic Number Theory

. Springer-Verlag, New York.

2.

Jean Pierre Serre,

Local Fields

, Springer-Verlag, New York.

3.

Senon I. Borewicz, Igor R. Šafarevič,

Zahlentheorie

, Birkhäuser Verlag, Basel und Stuttgart (1966).

Finite fields and finite commutative rings (number-theoretic), MSC 11T

1.

K. Ireland, M. Rosen,

A Classical Introduction to Modern Number Theory

, Springer-Verlag, 1998.

Title

bibliography for number theory

Canonical

name

BibliographyForNumberTheory

Date of creation

2013-03-22 14:14:19

Last modified on

2013-03-22 14:14:19

Owner

alozano (2414)

Last modified by

alozano (2414)

Numerical id

13

Author

alozano (2414)

Entry type

Bibliography

Classification

msc 11-00

Related topic

NumberTheory

Related topic

ClassNumbersAndDiscriminantsTopicsOnClassGroups

Related topic

AlgebraicNumberTheory

Generated on Fri Feb 9 15:06:36 2018 by

LaTeXML