Elementary Theory of NumbersWorld Scientific, 1992 - 250 strani This book explains clearly and in detail the basic concepts and methods of calculations of the elementary theory of numbers. It consists of 7 chapters illustrated by numerous examples and exercises. Answers together with some hints to the exercises are given at the end of the book. It may be used as a textbook for undergraduate students. |
Vsebina
Theory of divisibility | 1 |
Congruences | 51 |
Indeterminate Equations | 77 |
Congruences in One Unknown | 109 |
Quadratic Residues and Congruences | 139 |
Primitive Roots and Indices | 181 |
Brief Introduction to Number Theory | 207 |
Appendix | 219 |
249 | |
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a₁ algebraic integer algebraic number complete residue system congruent modulo conjecture contradiction d₁ different solutions discuss divided Euler Evidently Exercise Fermat number Find following theorem form 4n Gauss given congruence given equation greatest common divisor Hence the theorem indeterminate equation integers a1 Jacobi symbol least common multiple least positive Legendre symbol Mersenne numbers method mod m2 mod p² mod q necessary and sufficient number of integers number of solutions number theory obtain odd integer odd number p₁ perfect number positive divisors positive integer solution prime factor prime number primitive root problem quadratic nonresidue quadratic residue real number reduced residue system relatively prime required solution residue system modulo Show Similarly solutions of f(x solving the congruence square number sufficient condition system of congruences t₁ theorem is proved Wilson's theorem