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, SpringerVerlag, 1998.
Sequences and sets, MSC 11B

1.
Halberstam and Roth, Sequences^{}, Oxford Clarendon Press
This wellwritten book is somewhat outdated by now, but it is an excellent source to learn the basics from.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, SpringerVerlag, 1998.
Arithmetic algebraic geometry (Diophantine geometry), MSC 11G

1.
K. Ireland, M. Rosen, A Classical Introduction to Modern Number Theory, SpringerVerlag, 1998.
Exponential sums and character sums, MSC 11L

1.
E. C. Titchmarsh, The Theory of the Riemann Zetafunction. second ed. Oxford Science Pub. 1986
The book covers the classical methods of Weyl, van der Corput/Phillips as well as meanvalue 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^{}. SpringerVerlag, New York.

2.
Daniel A. Marcus, Number Fields, Springer, New York.

3.
K. Ireland, M. Rosen, A Classical Introduction to Modern Number Theory, SpringerVerlag, 1998.
Cyclotomic Extensions, MSC 11R18

1.
Lawrence C. Washington, Introduction to Cyclotomic Fields^{}, SpringerVerlag, New York.
Galois Cohomology, MSC 11R34

1.
J. P. Serre, Galois Cohomology, SpringerVerlag, New York.
Algebraic Number Theory: Local Fields and $p$adic Fields, MSC 11S

1.
Serge Lang, Algebraic Number Theory. SpringerVerlag, New York.

2.
Jean Pierre Serre, Local Fields^{}, SpringerVerlag, New York.

3.
Senon I. Borewicz, Igor R. Šafarevič, Zahlentheorie, Birkhäuser Verlag, Basel und Stuttgart (1966).
Finite fields and finite commutative rings (numbertheoretic), MSC 11T

1.
K. Ireland, M. Rosen, A Classical Introduction to Modern Number Theory, SpringerVerlag, 1998.
Title  bibliography for number theory 

Canonical name  BibliographyForNumberTheory 
Date of creation  20130322 14:14:19 
Last modified on  20130322 14:14:19 
Owner  alozano (2414) 
Last modified by  alozano (2414) 
Numerical id  13 
Author  alozano (2414) 
Entry type  Bibliography 
Classification  msc 1100 
Related topic  NumberTheory 
Related topic  ClassNumbersAndDiscriminantsTopicsOnClassGroups 
Related topic  AlgebraicNumberTheory 