ON HOMOGENEOUS CUBIC EQUATION WITH FOUR UNKNOWNS (x³ + y³) = 7zw²
By
J. Shanthi, S. Vidhyalakshmi and M. A. Gopalan
Department of Mathematics, Shrimati Indira Gandhi College, Affiliated to Bharathidasan University,
Trichy, Tamil Nadu, India-620002
Email: shanthivishvaa@gmail.com, vidhyasigc@gmail.com and mayilgopalan@gmail.com
(Received: February 26, 2023; In format: March 09, 2023; Revised: March 22, 2023; Accepted: May 20, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53119
Abstract
This paper concerns with the problem of obtaining non-zero distinct integer solutions to homogeneous cubic equation with four unknowns given by x³ + y³ = 7zw². A few interesting properties among the solutions are presented.
2020 Mathematical Sciences Classification: 11D25
Keywords and Phrases: homogeneous cubic, cubic with four unknowns, integer solutions