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On a conjecture concerning exactly covering systems of congruences

✍ Scribed by J. schönheim; N. Burshtein

Book ID
112888861
Publisher
The Hebrew University Magnes Press
Year
1970
Tongue
English
Weight
38 KB
Volume
8
Category
Article
ISSN
0021-2172

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📜 SIMILAR VOLUMES

A characterization of exactly covering c
A characterization of exactly covering congruences
✍ Aviezri S. Fraenkel 📂 Article 📅 1973 🏛 Elsevier Science 🌐 English ⚖ 454 KB

If every nonnegative integer occurs in exactly one of the integer sequences QiU+$, It = 0, 1,2, . . . . 0 < 41 (... Lam, 0 5 bi < aj, i = 1, . . . . m, then the system ain + bi is called an exactly covering system (ECS). Our main result is that ain f bi is an ECS if and only if I%! \_ ape1 B,(bi/ai)