# CONSTRUCTION OF IRRATIONAL GAUSSIAN DIOPHANTINE QUADRUPLES

• M. A. Gopalan Professor, Department of mathematics, Shrimathi Indira Gandhi College, Trichy, Tamilnadu, INDIA
• S.Vidhyalakshmi Professor, Department of mathematics, Shrimathi Indira Gandhi College, Trichy, Tamilnadu, INDIA
• N.Thiruniraiselvi Research Scholar, Department of mathematics, Shrimathi Indira Gandhi College, Trichy, Tamilnadu, INDIA

### Abstract

Given any two non-zero distinct irrational Gaussian integers such that their product added with either 1 or 4 is a perfect square, an irrational Gaussian Diophantine quadruple ( , ) a0 a1, a2, a3 such that the product of any two members of the set added with either 1 or 4 is a perfect square by employing the non-zero distinct integer solutions of the system of double Diophantine equations. The repetition of the above process leads to the generation of sequences of irrational Gaussian Diophantine quadruples with the given property.

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Published
2015-04-30
How to Cite
Gopalan, M., Vidhyalakshmi, S., & Thiruniraiselvi, N. (2015). CONSTRUCTION OF IRRATIONAL GAUSSIAN DIOPHANTINE QUADRUPLES. International Journal of Engineering Technologies and Management Research, 1(1), 1-7. https://doi.org/10.29121/ijetmr.v1.i1.2015.20
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Articles