CHAPTER I

Abstrakty

EN

DIVISIBILITY AND INDETERMINATE EQUATIONS OF FIRST DEGREE

§ 1. Divisibility
§ 2. Least common multiple
§ 3. Greatest common divisor
§ 4. Relatively prime numbers
§ 5. Relation between the greatest common divisor and the least common multiple
§ 6. Fundamental theorem of arithmetic
§ 7. Proof of the formulae $(a_1, a_2,…, a_(n+1)) = ((a_1, a_2,…, a_n),a_(n+1))$ and $[a_1, a_2,…, a_(n+1)] = [[a_1, a_2,…,a_n],a_(n+1)]$
§ 8. Rules for calculating the greatest common divisor of two numbers
§ 9. Representation of rationals as simple continued fractions
§ 10. Linear form of the greatest common divisor
§ 11. Indeterminate equations of m variables and degree 1
§ 12. Chinese Remainder Theorem
§ 13. Thue Theorem
§ 14. Square-free numbers

Twórcy

• Książka: Elementary theory of numbers
• Kolekcja: DML-PL