## 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. |

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#### LibraryThing Review

User Review - zaz360 - LibraryThingThis was a good book for my Introduction to Number Theory class where we went through the first five chapters. I thought it was easy to understand and follow in working through the problems. I never got too lost or needed too much teacher explanation of the text. Pretty good overall. Read full review

### Other editions - View all

AN INTRODUCTION TO THE THEORY OF NUMBERS, 5TH ED Ivan Niven,Herbert S. Zuckerman,Hugh L. Montgomery No preview available - 2008 |

### Common terms and phrases

algebraic number arithmetic binary quadratic form calculate Chinese Remainder Theorem common divisor complete residue system complex numbers composite congruence f(x congruence x2 convergent deduce defined degree denote the number determine Dirichlet series distinct divides divisible elements elliptic curve equivalent Euclidean algorithm Euler's criterion example Farey sequence Fermat's finite follows formula function given greatest common divisor hence identity iff(U implies infinitely integral coefficients integral solution least positive Lemma Let f(x linear matrix modulo multiplicative nonzero number of solutions number theory odd prime pairs perfect square positive integer prime factor prime number primitive root primitive root mod probable prime proof of Theorem Prove pseudoprime quadratic nonresidue quadratic residue rational numbers rational points real numbers reduced residue system relatively prime residue classes residue system modulo satisfying Section sequence Show Similarly solvable square-free subsets Suppose unique values write zero