On The Ternary Cubic Diophantine Equation 7x  4y  3z

Research Article
Gopalan M.A, Thiruniraiselvi N and Krithika V
DOI: 
xxx-xxxxx-xxxx
Subject: 
science
KeyWords: 
Ternary cubic, integer solutions, polygonal numbers, pyramidal numbers.2010 mathematics subject classification: 11D25
Abstract: 

The ternary cubic Diophantine equation given by 7x - 4y = 3z is analyzed for its non-zero distinct integer points on it. Different patterns of integer points for the equation under consideration are obtained. A few interesting relations between solutions and special numbers are obtained.