𝔖 Bobbio Scriptorium
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Units in residue classes

✍ Scribed by W. Narkiewicz


Book ID
112497875
Publisher
Springer
Year
1988
Tongue
English
Weight
263 KB
Volume
51
Category
Article
ISSN
0003-889X

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Sun, Z.-W., On disjoint residue classes, Discrete Mathmatics 104 (1992) 321-326. The purpose of this note is to show that, if n,, . , nk are positive integers, and for each d E Z+ satisfying f(d) G k -2 or a weaker condition d ~2~~~ (where f(d) = CI=, a,@, -1) if fl:=, p? is the prime factorization

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It is shown that, whenever ml, m2, . . . , m, are natural numbers such that th: pairwise greatest common divisors, d, = (mi, mj), i # j are distinct anti different from 1, then there exist integers a,, a2, . . . , a,, such that the solution sets of the congruences x = ai (mod m,), i = 1.2,..., n are