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Elementary Number Theory Primes Congruences and Secrets
This is a textbook about classical elementary number theory and elliptic curves. The first part discusses elementary topics such as primes, factorization, continued fractions, and quadratic forms, in the context of cryptography, computation, and deep open research problems. The second part is about elliptic curves, their applications to algorithmic problems, and their connections with problems in number theory.
Author(s): William Stein
NA Pages 
A Computational Introduction to Number Theory and Algebra
This note contains below topics, Title, Preliminaries, Basic properties of the integers, Congruences, Computing with large integers, Euclid s algorithm, The distribution of primes, Abelian groups, Rings, Finite and discrete probability distributions, Probabilistic algorithms, Probabilistic primality testing, Finding generators and discrete logarithms in Zp, Quadratic reciprocity and computing modular square roots, Modules and vector spaces, Matrices, Subexponentialtime discrete logarithms and factoring, More rings.
Author(s): Victor Shoup
598 Pages
Modular Functions and Modular Forms
This book contains below topics, A First Course in Modular Forms, Springer GUNNING, Introduction to Elliptic Curves and Modular Forms, Elliptic Curves, Booksurge Available on my website MIYAKE, Cours dArithmetique, Presses Univ de France The last.
Author(s): J.S. Milne
134 Pages
This book contains below topics, Local Class Field Theory LubinTate Theory, The Cohomology of Groups, III Local Class Field Theory Cohomology, Brauer Groups, V Global Class Field Theory Statements, VI LSeries and the Density of Primes, VII Global Class Field Theory Proofs, VIII Complements, A Exercises, B Solutions to Exercises, C Sources for the history of class field theory.
Author(s): J.S. Milne
296 Pages
Elementary Number Theory Primes Congruences and Secrets
This book contains below topics, Prime Numbers, The Ring of Integers Modulo n, Public key Cryptography, Quadratic Reciprocity, Continued Fractions, Elliptic Curves.
Author(s): William Stein
172 Pages
Number Theory Lecture Notes by Vahagn Aslanyan
This note explains the following topics, Divisibility, Multiplicative functions, Modular arithmetic, Primitive roots, Quadratic residues, Diophantine equations, Quadratic number fields, Chebyshevs theorem.
Author(s): Vahagn Aslanyan
69 Pages
Elementary Number Theory Primes Congruences and Secrets
This is a textbook about classical elementary number theory and elliptic curves. The first part discusses elementary topics such as primes, factorization, continued fractions, and quadratic forms, in the context of cryptography, computation, and deep open research problems. The second part is about elliptic curves, their applications to algorithmic problems, and their connections with problems in number theory.
Author(s): William Stein
NA Pages