An Introduction to the Theory of Numbers
The 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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Quadratic Reciprocity and Quadratic Forms
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addition algorithm apply arithmetic calculate called Chapter coefficients common complete composite conclude congruence consider contains continued fraction convergent correspondence curve deduce defined Definition denote determine Dirichlet discriminant distinct divides divisible divisor elements elliptic curve equation equivalent establish exactly example exist expressed factor field finite follows formula function given gives hence holds identity implies infinitely irrational known least Lemma linear matrix method modulo multiplicative observe obtain pairs partition polynomial positive integers precisely prime prime number primitive root problem Proof Prove quadratic form rational rational numbers rational points real numbers reduced replaced representations residue result satisfying sequence Show side Similarly solution Suppose Theorem theory unique unit values variables write zero