Classification of an exquisite diophantine 4-tuples bestow with an order
Downloads
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 equationMathematics Subject Classification:
Mathematics- Pages: 612-615
- Date Published: 01-01-2021
- Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
I. G. Bashmakova (ed.), Diophantus of Alexandria, Arith metic's and the Book of Polygonal numbers, Nauka, Moscow, 1974.
L. E. Dickson, Histoty of the theory of Numbers, Chelsea, New York, 1966, 513-520.
M. N. Deshpande, Families of Diophantine triplets, Bulletin of the Marathwada Mathematical Society, 4(2003), $19-21$.
Y. Bugeaud, A. Dujella and M. Mignotte, on the family of Diophantine triples, Glasgow Math. J., 49(2007), 333344.
Alan Filipin and Yasutsugu Fujita, Any polynomialquadruple is regular, Mathematical communications, $13(2008), 45-55$
M. A. Gopalan, V. Sangeetha and Manju Somanath, Construction of the Diophantine Polygonal Numbers, Sch. J. Eng. Tech, 2(2014), 19-22.
M. A. Gopalan, K. Geetha and Manju Somanath, On Special Diophantine Triple, Archimedes Journal of Math ematics, 4(1)(2014), 37-43.
M. A. Gopalan, K. Geetha and Manju Somanath, Special Dio-3Tuples, Bulletin of Society of Mathematical Services and Standards, 3(2)(2014), 41-45.
V. Pandichelvi and P. Sivakamasundari, On the extendibility of the sequences of Diophantine triples into quadru- ples involving Pell numbers, International journal of current Advanced Research, 6(11)(2017), 7197-7202
V. Pandichelvi and P. Sandhya, The patterns of Diophantine triples engross Cheldhiya Companion sequences with inspiring properties, Adalya journal, $9(4)(2020), 399$ 404.
Similar Articles
- P. Sandhya, V. Pandichelvi, Incomparable integer quintuple in arithmetic progression with prominent condition , Malaya Journal of Matematik: Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
You may also start an advanced similarity search for this article.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.