Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 3 2 2015 06 02 On Quasi Multiplicative Function 68 69 EN Azizul Hoque Department of Mathematics, Gauhati University, Guwahati, India Himashree Kalita Department of Mathematics, Gauhati University, Guwahati, India TJANT2015326 10.12691/tjant-3-2-6 2015 03 21 2015 04 07 2015 06 02 In this paper we introduce two new Arithmetic functions, that is, Quasi-Multiplicative (QM) and omega functions. The Omega function is based on Euler's Phi function and is used to find the sum of coprime integers. Euler's Phi function, Dedekind's psi function, the sigma function and -function play significant role in this work.