A trek on the nonic surface x2 − 4xy4 = 2y9 − y8

Abstract

The non-homogeneous polynomial equation of degree nine with two unknowns given by is studied to determine its distinct integer solutions. Some connections between the solutions are presented.

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Author Biographies

S.Devibala, Associate Professor of Mathematics ,

Department of Mathematics, Sri Meenakshi Government Arts College for Women(A), Affiliated to Madurai Kamaraj University, Madurai-625 002, Tamil Nadu, India.

J.Shanthi, Assistant Professor of Mathematics ,

Department of Mathematics, Shrimati Indira Gandhi College,

Affiliated to Bharathidasan University,Tiruchirappalli-620002, Tamil Nadu, India.

N. Thiruniraiselvi, Department of Mathematics

Shrimati Indira Gandhi College,

Affiliated to Bharathidasan University,Tiruchirappalli-620002, Tamil Nadu, India.

Sharadha Kumar, Department of Mathematics

National College (Autonomous),

Affiliated to Bharathidasan University,

Tiruchirappalli-620001, Tamil Nadu, India.

Published
2025-11-01
Section
Advances in Nonlinear Analysis and Applications