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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
Lectures on Analytic Number Theory
This note covers the following topics: Formal Power Series, Theta-functions, Analytic theory of partitions, Representation by squares.
Author(s): H. Rademacher
283 Pages
An Introductory Course in Elementary Number Theory
The notes contain a useful introduction to important topics that need to be addressed in a course in number theory. Proofs of basic theorems are presented in an interesting and comprehensive way that can be read and understood even by non-majors with the exception in the last three chapters where a background in analysis, measure theory and abstract algebra is required.
Author(s): Wissam Raji
171 Pages
Introductory Number Theory (PDF 80P)
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Automorphic Forms, Representations, and L Functions
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A Computational Introduction to Number Theory
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An Introduction to p adic Numbers and p adic Analysis (PDF 64p)
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Algebra and Number Theory (PDF 64p)
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