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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
This note contains below topics, Analytic Theory, The Arithmetic Theory, III CMMotives, Applications, A Additional Notes Solutions to the Exercises, B Summary, Index of definitions.
Author(s): J.S. Milne
108 Pages
Lectures notes on number theory for computer science
This brief collects notes on elementary and medium level number theory, mainly for computer science students. It can support a discrete mathematics course, a foundations course, or a cryptography course. The opening chapters cover divisibility, primes, modular arithmetic, and Eulers totient function.
Author(s): Alexandros V. Gerbessiotis
191 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
