Classification of an exquisite diophantine 4-tuples bestow with an order

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Abstract

In this text, a pattern of spectacular Diophantine 3-tuples (l;m;n); (m;n;o); (n;o; p) etc concerning Gnomonic
number is appraised with the condition that the product of any two elements of them augmented by four is a
perfect square. Also, the above pattern of 3-tuple is protracted to a pattern of 4 -tuples by manipulating a distinct
formula for the property D(4).

Keywords:

Integer sequence, Diophantine quadruples, Pell equation

Mathematics Subject Classification:

Mathematics
  • S. Saranya PG & Research Department of Mathematics, Urumu Dhanalakshmi College, (Affiliated to Bharathidasan University), Trichy-620019, Tamil Nadu, India.
  • V. Pandichelvi PG & Research Department of Mathematics, Urumu Dhanalakshmi College, (Affiliated to Bharathidasan University), Trichy-620019, Tamil Nadu, India.
  • Pages: 612-615
  • Date Published: 01-01-2021
  • Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

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Published

01-01-2021

How to Cite

S. Saranya, and V. Pandichelvi. “Classification of an Exquisite Diophantine 4-Tuples Bestow With an Order”. Malaya Journal of Matematik, vol. 9, no. 01, Jan. 2021, pp. 612-5, https://www.malayajournal.org/index.php/mjm/article/view/1091.