Introduction to Number Theory

Description

Front Matter....Pages I-XVIII The Factorization of Integers....Pages 1-21 Congruences....Pages 22-34 Quadratic Residues....Pages 35-56 Properties of Polynomials....Pages 57-69 The Distribution of Prime Numbers....Pages 70-101 Arithmetic Functions....Pages 102-148 Trigonometric Sums and Characters....Pages 149-185 On Several Arithmetic Problems Associated with the Elliptic Modular Function....Pages 186-216 The Prime Number Theorem....Pages 217-249 Continued Fractions and Approximation Methods....Pages 250-275 Indeterminate Equations....Pages 276-299 Binary Quadratic Forms....Pages 300-337 Unimodular Transformations....Pages 338-364 Integer Matrices and Their Applications....Pages 365-404 p -adic Numbers....Pages 405-422 Introduction to Algebraic Number Theory....Pages 423-473 Algebraic Numbers and Transcendental Numbers....Pages 474-493 Waring’s Problem and the Problem of Prouhet and Tarry....Pages 494-513 Schnirelmann Density....Pages 514-534 The Geometry of Numbers....Pages 535-564 Back Matter....Pages 565-572