eng Ansari Education and Research Society Journal of Ultra Scientist of Physical Sciences April 2010 22 1 271 276 jusps-A 1053 article The divisibility of Mersenne Arithmetic mean by the Mersenne Meet matrices S. Krishnamoorthy 1 N. Elumalai (nelumalai@rediffmail.com) 2 Reader in Mathematics Ramanujan Research Centre Government Arts College (Autonomous) Kumbakonam - 612 001 Assistant Professor A.V.C. College (Autonomous) Mayliabduthurai - 609 305 (Mannampandal) <p>We define Mersenne Arithmetic Mean and Mersenne Meet matrices on a subset <em>S = {x<sub>1</sub>,x<sub>2</sub>,x<sub>3 </sub>, .....X<sub>n&nbsp;</sub>}&nbsp;</em>with <em>x<sub>1 </sub>&lt;&nbsp;x<sub>2&nbsp;</sub>&lt;&nbsp;x<sub>3&nbsp;</sub>&lt; ......&lt;&nbsp;x<sub><span style="font-size:10.8333px">n</span></sub></em>&nbsp;of a lattice with respect to a complex valued function <em>f : P&rarr; C&nbsp;</em>by &nbsp;A= (a<sub>n</sub>) where a<sub>n</sub> =&nbsp;and &nbsp;B= (b<sub>n</sub>) where b<sub>n = 2 <sup>xxy</sup></sub>. In this paper, we assume that the elements of the matrices A and B are integers and find A/B of the <em>n x n</em> matrices in terms of the usual divisibility in Z.<br /> &nbsp;</p> https://www.ultrascientist.org/paper/1053/ Lattice Mersenne Arithmetic Mean Matrix Mersenne Meet Matrix, Divisibility.