Book:George E. Andrews/Number Theory

Subject Matter

 * Number Theory

Contents

 * Preface


 * Part I: Multiplicativity - Divisibility


 * Chapter 1: Basis Representation
 * Chapter 2: The Fundamental Theorem of Arithmetic
 * Chapter 3: Combinatorial and Computational Number Theory
 * Chapter 4: Fundamentals of Congruences
 * Chapter 5: Solving Congruences
 * Chapter 6: Arithmetic Functions
 * Chapter 7: Primitive Roots
 * Chapter 8: Prime Numbers


 * Part II: Quadratic Congruences


 * Chapter 9: Quadratic Residues
 * Chapter 10: Distribution of Quadratic Residues


 * Part III: Additivity


 * Chapter 11: Sums of Squares
 * Chapter 12: Elementary Partition Theory
 * Chapter 13: Partition Generating Functions
 * Chapter 14: Partition Identities


 * Part IV: Geometric Number Theory


 * Chapter 15: Lattice Points


 * Appendices
 * Appendix A: A proof that $\displaystyle \lim_{n \to \infty} p(n)^{1/n} = 1$
 * Appendix B: Infinite Series and Products
 * Appendix C: Double Series
 * Appendix D: The Integral Test


 * Notes
 * Suggested Reading
 * Bibliography
 * Hints and Answers to Selected Exercises
 * Index of Symbols
 * Index