## 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

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algebraic integer algebraic number field complete residue system complex numbers congruence consider continued fraction expansion convergents Corollary defined Definition degree digit divides divisible elements example Farey sequence finite number function greatest common divisor hence implies integers of R(Vm integral coefficients irrational number isomorphic Jacobi symbol least positive Lemma mathematical induction modp monic natural density number of positive number of solutions number theory obtain odd prime pairs perfect square polynomial f(x positive divisors positive integers positive solutions primes in R(Vm primitive root problem proof of Theorem quadratic field quadratic residue modulo rational integers rational numbers rational prime real numbers reduced form reduced residue system relatively prime residue system modulo result satisfying Schnirelmann density Section set of integers shows simple continued fraction smallest positive solutions of x2 Solve square-free summands suppose unique factorization property values write