Published March 18, 2026
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A Collection of Integer Solutions to Non-homogeneous Ternary Nonic Diophantine Equation 3(x2+y2)-5xy=(k2+11) z9
Authors/Creators
- 1. Associate Professor, Department of Mathematics, Sri Meenakshi Government Arts College for Women(A), Affiliated to Madurai Kamaraj University, Madurai-625 002, Tamil Nadu, India
- 2. Associate Professor, Department of Mathematics, Sri Ramakrishna College of Engineering, Affiliated to Anna University, Chennai, Sri Saradha Nagar, Perambalur-621 113, Tamil Nadu, India
- 3. Professor of Mathematics, Shrimati Indira Gandhi College, Affiliated to Bharathidasan University, Trichy-620 002, Tamil Nadu, India
Description
Abstract
This paper aims at determining non-zero distinct integer solutions to non-homogeneous ternary nonic Diophantine equation 3(x2+y2)-5xy=(k2+11) z9. Transformation techniques and factorization methods are utilized to obtain the same. We are able to solve the higher degree equation through the methods suggested above for obtaining plenty of non-zero distinct integer solutions.