## An Introduction to the Theory of Numbers |

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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

### Contents

DIVISIBILITY | 1 |

CONGRUENCES | 21 |

QUADRATIC RECIPROCITY | 69 |

Copyright | |

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### Common terms and phrases

algebraic integer algebraic number algebraic number field complete residue system congruence convergents Corollary defined Definition degree density digit distinct prime divides divisible elements equation example Farey sequence finite number greatest common divisor hence hn/kn implies induction inequality infinite integral coefficients irrational number isomorphic Jacobi symbol Lemma mathematical induction minimal polynomial monic natural density number of solutions number theory obtain odd prime pairs perfect square polynomial f(x positive divisors positive integers positive solutions prime factors 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 solution of f(x solutions of x2 solvable Solve square-free summands Suppose values write zero