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1001 Problems in Classical Number Theory

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Author(s): Jean-Marie De Koninck, Armel Mercier
Series: Translation of "1001 problèmes en théorie classique des nombres" from French
Publisher: American Mathematical Society
Year: 2007

Language: English
Commentary: Made from item with MD5 8FA33B5CA2B3C3EBF565DC48E53FD033. Supercedes item with MD5 C1B9A3620436DCFD5616DA0D522093D8.
Pages: 336+xii

Title
Contents
Distribution of the Problems according to Their Topics
Preface
Part 1: Key Elements from the Theory
Part 2: Statements of the Problems
1. Mathematical Induction and Combinatorics
2. Divisibility
3. Prime Numbers
4. Representations of Numbers
5. Congruences
6. Primality Tests and Factorization Algorithms
7. Integer Parts
8. Arithmetical Functions
9. Solving Equations Involving Arithmetical Functions
10. Special Numbers
11. Diophantine Equations
12. Quadratic Reciprocity
13. Continued Fractions
14. Classification of Real Numbers
Part 3: Solutions
1. Mathematical Induction and Combinatorics
2. Divisibility
3. Prime Numbers
4. Representations of Numbers
5. Congruences
6. Primality Tests and Factorization Algorithms
7. Integer Parts
8. Arithmetical Functions
9. Solving Equations Involving Arithmetical Functions
10. Special Numbers
11. Diophantine Equations
12. Quadratic Reciprocity
13. Continued Fractions
14. Classification of Real Numbers
Bibliography
Subject Index
Index of Authors