An introduction to the theory of numbersWiley, 1966 - 280 pages |
Contents
DIVISIBILITY | 1 |
CONGRUENCES | 47 |
QUADRATIC RECIPROCITY | 69 |
Copyright | |
11 other sections not shown
Common terms and phrases
a₁ algebraic integer algebraic number algebraic number field ax² B₁ by² complete residue system congruence convergents Corollary cy² defined Definition density digit divides divisible elements equation Farey sequence finite number greatest common divisor hence hn/kn implies induction inequality infinite integral coefficients irrational number isomorphic Lemma minimal polynomial multiplication natural density number theory obtain odd prime pairs partition perfect square positive divisors positive integers positive solutions prime in R(√m primitive root Problems proof of Theorem Prove quadratic field quadratic residue rational integers rational numbers rational prime real numbers reduced form reduced residue system relatively prime residue system modulo satisfying Schnirelmann density Section set of integers shows simple continued fraction solutions of f(x solutions of x² solvable Solve summands values write y₁ zero