Elementary Theory of Numbers
World Scientific, 1992 - 250 strani
This book explains clearly and in detail the basic concepts and methods of calculations of the elementary theory of numbers. It consists of 7 chapters illustrated by numerous examples and exercises. Answers together with some hints to the exercises are given at the end of the book. It may be used as a textbook for undergraduate students.
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assume called chapter classes Clearly complete residue system composite computation congruence conjecture consecutive Consequently consider contradiction Conversely discuss divided easily Evidently Example Exercise exist expressed Fermat Find following theorem function Gauss give given equation greater greatest common divisor Hence holds important impossible incongruent infinitely Legendre symbol less means method mod 2k Moreover necessary and sufficient Note number theory obtain odd integer odd number odd prime perfect number positive divisors positive integer prime factor prime number primitive root problem Proof properties quadratic nonresidue quadratic residue reduced residue system relatively prime remainder required solution residue system modulo respectively result satisfy Show sides Similarly Solve square number Substituting sufficient condition Suppose theorem is proved tion true unique written