An Introduction to the Theory of NumbersThe Fifth Edition of one of the standard works on number theory, written by internationally-recognized mathematicians. Chapters are relatively self-contained for greater flexibility. New features include expanded treatment of the binomial theorem, techniques of numerical calculation and a section on public key cryptography. Contains an outstanding set of problems. |
Contents
Congruences | 47 |
Quadratic Reciprocity and Quadratic Forms | 131 |
Some Functions of Number Theory | 180 |
Copyright | |
10 other sections not shown
Other editions - View all
An Introduction to the Theory of Numbers Ivan Niven,Herbert S. Zuckerman,Hugh L. Montgomery Limited preview - 1991 |
An Introduction to the Theory of Numbers Ivan Niven,Herbert S. Zuckerman,Hugh L. Montgomery No preview available - 1991 |
An Introduction to the Theory of Numbers Ivan Niven,Herbert S. Zuckerman,Hugh L. Montgomery No preview available - 1991 |
Common terms and phrases
a₁ a₂ absolutely convergent algebraic integer algebraic number algebraic number field ax² b₁ common divisor complex numbers congruence continued fraction deduce defined Definition degree denote the number Dirichlet series distinct divides divisible elements elliptic curve equivalent Euclidean algorithm Euler's example exist Farey sequence finite follows formula function given greatest common divisor hence identity infinitely integral coefficients least positive Lemma Let f(x linear log log m₁ m₂ matrix modulo multiplicative nonzero number of solutions number theory odd prime P₁ pairs partition perfect square positive integers prime number primitive root problem Prove quadratic form quadratic nonresidue quadratic residue r₁ rational integers rational numbers rational points real numbers reduced residue reduced residue system relatively prime residue classes satisfying Section sequence Show square-free Suppose u₁ values write x₁ y₁ zero