
Arithmetic Duality Theorems
Author:
J. S. Milne
Language:
In the late fifties and early sixties, Tate (and Poitou) found some important duality theorems concerning the Galois cohomology of finite modules and abelian varieties over local and global fields. Ab . . . . . 
Elementary Number Theory
Author:
William Stein
Language:
 This is a textbook about prime numbers, congruences, basic publickey cryptography, quadratic reciprocity, continued fractions, elliptic curves, and number theory algorithms. We assume the reader has . . . . . 

Topics in the Theory of Quadratic Residues
Author:
Steve Wright
Language:
Number theory as a coherent mathematical subject started with the work of Fermat in the decade from 1630 to 1640, but modern number theory, that is, the systematic and mathematically rigorous developm . . . . . 
Analysis and dynamics on the Berkovich projective line
Author:
Robert Rumely, Matthew Baker
Language:
This is a set of expanded lecture notes from the Berkovich Space seminar held at the University of Georgia during Spring, 2004. The purpose of the notes is to provide a nontechnical introduction to B . . . . . 
Free Elementary Number Theory textbook
Author:
W. Edwin Clark
Language:
Contents: Basic Axioms for Z; proof by induction; elementary divisibility properties; The floor and ceiling of a real number; The division algorithm; greatest common divisor; the eucledian algorithm; . . . . . 
An Introduction to the Theory of Numbers
Author:
Leo Moser
Language:
 This book, which presupposes familiarity only with the most elementary concepts of arithmetic (divisibility properties, greatest common divisor, etc.), is an expanded version of a series of lectures f . . . . . 

Introduction to Number Theory
Author:
Ramakrishnan
Language:
Contents: Basic Notions; Heuristics on Primes; More on divisibility and Primes; Pythagorean Triples; Linear Equations; Congruences; Linear Equations mod m; Euler’s phifunction; 9Linear congruences re . . . . . 
The Theory of Numbers
Author:
Robert D. Carmichael
Language:
Contents: Elementary Properties of Integers; On the indicator of an integer; Elementary properties of congruences; The theorems of Fermat and Wilson; Primitive roots modulo m; Other topics. 
Introduction aux formes modulaire de Hilbert
Author:
Federico Pellarin
Language:
An elementary introduction to Hilbert modular forms, with a particular attention to their differential properties: RankinCohen brakets, structure of differential rings... This text will appear in SMF . . . . . 
Elementary Number Theory
Author:
Michael Filaseta
Language:
Class notes can also be obtained in postscript form below.
These notes are from a course taught by Michael Filaseta in the Fall
of 1997 and may not reflect the current semesters material. 
Exercizes with solutions on elementary number theory
Author:
Nigel Byott
Language:
Exercizes with solutions on elementary number theory. 
Trascendental number theory
Author:
Filaseta
Language:
Contents: Introduction; The Irrationality of Pi and Various Trigonometric Values; The Irrationality of log 2 (the natural logarithm); The Irrationality of Zeta(3); The Beginnings of Transcendental Nu . . . . . 
Combinatorial Number Theory
Author:
Akos Magyar
Language:
Contents: Roth\' Theorem; Freiman\'s theorem and the circle method; Four term arithmetic progressions; Progressions among the primes. 
La conjecture de SatoTate
Author:
Michael Harris
Language:
Table de matieres; remière semaine: Equidistribution (d'après Serre), modularité potentielle;
Deuxième semaine: Formes automorphes sur GL(2), GL(n) et groupes unitaires;
L'anneau des déformation . . . . . 