✦ LIBER ✦

On discount residue classes

✍ Scribed by A.P. Huhn; L. Megyesi

Book ID: 103057107
Publisher: Elsevier Science
Year: 1982
Tongue: English
Weight: 346 KB
Volume: 41
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(82)90030-9

No coin nor oath required. For personal study only.

✦ Synopsis

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 disjoint.

📜 SIMILAR VOLUMES

On disjoint residue classes

✍ Zhi-Wei Sun 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 310 KB

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

On the addition of residue classes

✍ Pillai, S. S. 📂 Article 📅 1938 🏛 Springer-Verlag 🌐 English ⚖ 137 KB

Units in residue classes

✍ W. Narkiewicz 📂 Article 📅 1988 🏛 Springer 🌐 English ⚖ 263 KB

On the addition of residue classes modp

✍ Ösytein J. Rödseth 📂 Article 📅 1996 🏛 Springer Vienna 🌐 English ⚖ 188 KB

On the characterization of additive func

On the characterization of additive functions on residue classes

✍ K. Kovács 📂 Article 📅 1987 🏛 Akadmiai Kiad 🌐 English ⚖ 116 KB

Two theorems on the addition of residue

Two theorems on the addition of residue classes

✍ David R. Guichard 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 445 KB

It is well known that if a,, . , a, are residues module n and m an then some sum ai, + . . .+q,, iI<...<&, is 0 (mod n). In recent related work, Sydney Bulman-Fleming and Edward T.H. Wang have studied what they call n-divisible subsequences of a finite sequence u, and made a number of conjectures. W