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文件名称:advance number theory
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number theory
The prerequisites for this book are the “standard” first-semester course
in number theory (with incidental elementary algebra) and elementary
calculus. There is no lack of suitable texts for these prerequisites (for
example, An Introduction to the Theory of Numbers, by 1. Niven and H. S.
Zuckerman, John Wiley and Sons, 1960, cari be cited as a book that introduces
the necessary algebra as part of number theory). Usually, very little
else cari be managed in that first semester beyond the transition from
improvised combinatorial amusements of antiquity to the coherently
organized background for quadratic reciprocity, which was achieved in
the eighteenth Century.
The present text constitutes