Algebraic Number Theory by Dietrich Burde

Algebraic Number Theory by Dietrich Burde

This note explains the following topics: Integral ring extensions, Ideals of Dedekind rings, Finiteness of the class number, Dirichlets unit theorem, Splitting and ramification, Cyclotomic fields, Valuations and local fields, The theorem of Kronecker weber.

Author(s): Dietrich Burde

101 Pages

Number Theory by Lars Ake Lindahl

This PDF covers the following topics related to Number Theory : Divisibility, Prime Numbers, The Linear Diophantine Equation , Congruences, Linear Congruences, The Chinese Remainder Theorem, Public-Key Cryptography, Pseudoprimes, Polynomial Congruences with Prime Moduli, Polynomial Congruences with Prime Power Moduli, The Congruence, General Quadratic Congruences, The Legendre Symbol and Gauss’ Lemma, Quadratic Reciprocity, Primitive Roots, Arithmetic Functions, Sums of Squares, Pythagorean Triples, Fermat’s Last Theorem, Continued Fractions, Simple Continued Fractions, Rational Approximations to Irrational Numbers, Periodic Continued Fractions, Continued Fraction Expansion, Pell’s Equation.

Author(s): Lars Ake Lindahl

95 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, Chebyshev’s theorem.

Author(s): Vahagn Aslanyan

69 Pages

Number Theory Lectures

This note covers the following topics: Divisibility and Primes, Congruences, Congruences with a Prime-Power Modulus, Euler's Function and RSA Cryptosystem, Units Modulo an Integer, Quadratic Residues and Quadratic Forms, Sum of Powers, Fractions and Pell's Equation, Arithmetic Functions, The Riemann Zeta Function and Dirichlet L-Function.

Author(s): Dr. Anupam Saikia, NTPEL

NA Pages