A LOWER-BOUND TO THE ERROR TERM OF A FUNCTION RELATED TO KTH ORDER FREE INTEGERS (MOD-M)

Authors
PATEL JK
Citation
Jk. Patel, A LOWER-BOUND TO THE ERROR TERM OF A FUNCTION RELATED TO KTH ORDER FREE INTEGERS (MOD-M), Indian Journal of Pure and Applied Mathematics, 26(1), 1995, pp. 21-27
Citations number
4
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Indian Journal of Pure and Applied Mathematics → ACNP
ISSN journal
00195588
Volume
26
Issue
1
Year of publication
1995
Pages
21 - 27
Database
ISI
SICI code
0019-5588(1995)26:1<21:ALTTET>2.0.ZU;2-5
Abstract
The multiplicative function g(k)(m(k)) is defined by [GRAPHICS] where phi is Euler's totient function. It is known that, [GRAPHICS] for a ce rtain constant C. In this paper, for the corresponding error term, we show that E(x) = Omega(x(k) log log log x).