Elementary Theory of NumbersAllied Publishers, 1995 - 250 strani |
Vsebina
Theory of divisibility | 1 |
51 | 15 |
888 | 28 |
58 | 39 |
Quadratic Residues and Congruences | 139 |
Primitive Roots and Indices | 181 |
vii | 191 |
Brief Introduction to Number Theory | 207 |
Appendix | 219 |
249 | |
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a₁ algebraic integer algebraic number b₁ complete residue system completes the proof conjecture d₁ different solutions discuss divided Euler Evidently Exercise Fermat number Find following theorem form 4n Gauss given congruence given equation Goldbach's conjecture greatest common divisor Hence the theorem incongruent modulo indeterminate equation Jacobi symbol least common multiple Legendre symbol Mersenne numbers mod m₁ mod p² mod q necessary and sufficient number of integers number of solutions number theory obtain odd integer odd number odd prime factors p₁ perfect number positive divisors positive integer solution 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 y₁