This paper is published in Volume-7, Issue-3, 2021
Area
Number Theory
Author
Sharadha Kumar, M. A. Gopalan, A. Vijayasankar
Org/Univ
National College, Tiruchirappalli, Tamil Nadu, India
Pub. Date
31 May, 2021
Paper ID
V7I3-1502
Publisher
Keywords
Diophantine 3-tuple, Gaussian 3-tuple

Citationsacebook

IEEE
Sharadha Kumar, M. A. Gopalan, A. Vijayasankar. Sequences of Gaussian Diophantine 3-Tuples, International Journal of Advance Research, Ideas and Innovations in Technology, www.IJARIIT.com.

APA
Sharadha Kumar, M. A. Gopalan, A. Vijayasankar (2021). Sequences of Gaussian Diophantine 3-Tuples. International Journal of Advance Research, Ideas and Innovations in Technology, 7(3) www.IJARIIT.com.

MLA
Sharadha Kumar, M. A. Gopalan, A. Vijayasankar. "Sequences of Gaussian Diophantine 3-Tuples." International Journal of Advance Research, Ideas and Innovations in Technology 7.3 (2021). www.IJARIIT.com.

Abstract

This paper deals with the study of constructing sequences of diophantine triples through Gaussian integers such that the product of any two elements of the set added by a non-zero integer or a polynomial with integer coefficients or Gaussian integer is a perfect square.