On the addition of residue classes
β Scribed by Pillai, S. S.
- Book ID
- 112977440
- Publisher
- Springer-Verlag
- Year
- 1938
- Tongue
- English
- Weight
- 137 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0370-0089
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
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