Authors
Citation
Jk. Patel, ORDER FREE INTEGERS (MOD M), Indian Journal of Pure and Applied Mathematics, 24(9), 1993, pp. 503-508
Citations number
2
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
00195588
Volume
24
Issue
9
Year of publication
1993
Pages
503 - 508
Database
ISI
SICI code
0019-5588(1993)24:9<503:OFI(M>2.0.ZU;2-H
Abstract
For a fixed natural number m, an integer t is said to possess kth weak
order (mod m), if there exists a natural number n satisfying t(n + k)
= t(k) (mod m).We write g(k)(m) for the numbers of incongruent elemen
ts possessing kth order (mod m). Here the asymptotic behaviour of G(k)
(x) = SIGMA(m less-than-or-equal-to x) g(k)(m) is studied.