ON DIOPHANTINE EQUATION mA6-nB3= -C2

Abstract

Diophantine Analysis is a very active field of mathematical research where one finds more conjecture than results. The work in this paper consists of an extension to the result on Diophantine equation due to Zena, S.K. [1]. To put our result in the proper context we shall apply the method of infinite ascent to discuss infinite number of integral solutions for the Diophantine equation mA6-nB3= -C2 with m, n, A, B and C as integers and A, B and C are pair wise co-prime.