@article{Gopalan_Vidhyalakshmi_Thiruniraiselvi_2015, title={CONSTRUCTION OF IRRATIONAL GAUSSIAN DIOPHANTINE QUADRUPLES}, volume={1}, url={https://www.granthaalayahpublication.org/ijetmr-ojms/ijetmr/article/view/01_IJETMR15_A04_02}, DOI={10.29121/ijetmr.v1.i1.2015.20}, abstractNote={<p><em><strong>Given any two non-zero distinct irrational Gaussian integers such that their product added </strong></em><em><strong>with either 1 or 4 is a perfect square, an irrational Gaussian Diophantine quadruple </strong></em><em><strong>( , ) a0 a1, </strong></em><em><strong>a2, </strong></em><em><strong>a3 </strong></em><em><strong>such that the product of any two members of the set added with either 1 or 4 is a </strong></em><em><strong>perfect square by employing the non-zero distinct integer solutions of the system of double </strong></em><em><strong>Diophantine equations. The repetition of the above process leads to the generation of </strong></em><strong><em>sequences of irrational Gaussian Diophantine quadruples with the given property.</em> </strong></p>}, number={1}, journal={International Journal of Engineering Technologies and Management Research}, author={Gopalan, M. and Vidhyalakshmi, S. and Thiruniraiselvi, N.}, year={2015}, month={Apr.}, pages={1–7} }