Research on Some Non-Extendability of Gaussian Diophantine Quadruples

Authors

  • V. Geetha PG and Research Department of Mathematics, Cauvery College for Women (Autonomous), Trichy -18, India.
  • B. Priyanka PG and Research Department of Mathematics, Cauvery College for Women (Autonomous), Trichy -18, India.

DOI:

https://doi.org/10.9734/bpi/rumcs/v2/8123E

Keywords:

Gaussian integers, Diophantine triples, Diophantine quadruples

Abstract

This chapter is concerned with the study of the construction of sequences of Diophantine triples (a,b,c) such that the product of any two elements of the set subtracted by a polynomial with integer coefficients is a perfect square and non-extendability of Gaussian Diophantine quadruples with suitable properties.

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Published

2024-03-29

How to Cite

V. Geetha, & B. Priyanka. (2024). Research on Some Non-Extendability of Gaussian Diophantine Quadruples. Research Updates in Mathematics and Computer Science Vol. 2, 89–107. https://doi.org/10.9734/bpi/rumcs/v2/8123E

Issue

Research Updates in Mathematics and Computer Science Vol. 2

Section

Chapters