[HTML][HTML] Nonexistence of D (4)-quintuples
MB Trebješanin, A Filipin - Journal of number theory, 2019 - Elsevier
Nonexistence of D(4)-quintuples - ScienceDirect Skip to main contentSkip to article Elsevier
logo Journals & Books Search RegisterSign in View PDF Download full issue Search …
logo Journals & Books Search RegisterSign in View PDF Download full issue Search …
On a family of two-parametric D (4)-triples
A Filipin, B He, A Togbé - Glasnik matematički, 2012 - hrcak.srce.hr
ON A FAMILY OF TWO-PARAMETRIC D(4)-TRIPLES Alan Filipin, Bo He and Alain Togbé
University of Zagreb, Croatia, ABa Teacher’s C Page 1 GLASNIK MATEMATICKI Vol. 47(67)(2012) …
University of Zagreb, Croatia, ABa Teacher’s C Page 1 GLASNIK MATEMATICKI Vol. 47(67)(2012) …
There does not exist a D (4)-sextuple
A Filipin - Journal of number theory, 2008 - Elsevier
There does not exist a D(4)-sextuple Page 1 Journal of Number Theory 128 (2008) 1555–1565
www.elsevier.com/locate/jnt There does not exist a D(4)-sextuple Alan Filipin Faculty of Civil …
www.elsevier.com/locate/jnt There does not exist a D(4)-sextuple Alan Filipin Faculty of Civil …
On a family of diophantine triples { k, A2 k + 2 A, ( A + 1)2 k + 2 ( A + 1)} with two parameters.
B He, A Togbé - Acta Mathematica Hungarica, 2009 - search.ebscohost.com
Let A and k be positive integers. We study the Diophantine quadruples. We prove that if d is
a positive integer such that the product of any two distinct elements of the set increased by 1 …
a positive integer such that the product of any two distinct elements of the set increased by 1 …
Extension of a Diophantine triple with the property
M Bliznac Trebješanin - Acta Mathematica Hungarica, 2021 - Springer
10474_2020_1128_Article 1..34.indd Page 1 213 Acta Math. Hungar. DOI: 0 EXTENSION
OF A DIOPHANTINE TRIPLE WITH THE PROPERTY D(4) M. BLIZNAC TREBJEŠANIN …
OF A DIOPHANTINE TRIPLE WITH THE PROPERTY D(4) M. BLIZNAC TREBJEŠANIN …
Two-parameter families of uniquely extendable Diophantine triples
M Cipu, Y Fujita, M Mignotte - Science China Mathematics, 2018 - Springer
Let A and K be positive integers and є∈{− 2;− 1, 1, 2}. The main contribution of the paper is
a proof that each of the D (є 2)-triples {K, A 2 K+ 2 є A,(A+ 1) 2 K+ 2 є (A+ 1)} has unique …
a proof that each of the D (є 2)-triples {K, A 2 K+ 2 є A,(A+ 1) 2 K+ 2 є (A+ 1)} has unique …
On the family of diophantine triples { k + 1, 4 k , 9 k + 3}
B He, A Togbé - Periodica Mathematica Hungarica, 2009 - akjournals.com
ON THE FAMILY OF DIOPHANTINE TRIPLES {k + 1, 4k, 9k + 3} 1. Introduction Page 1
Periodica Mathematica Hungarica Vol. 58 (1), 2009, pp. 59–70 DOI: 10.1007/s10998-009-9059-6 …
Periodica Mathematica Hungarica Vol. 58 (1), 2009, pp. 59–70 DOI: 10.1007/s10998-009-9059-6 …
The problem of the extension of D (4)-triple {1, b, c}
KN Adédji, A Filipin, A Togbé - Rad Hrvatske akademije znanosti i …, 2022 - hrcak.srce.hr
Sažetak In this paper, we study the extensibility of the D (4)-triple {1, b, c}, where 1< b< c, by
proving that such a set cannot be extended to an irregular D (4)-quadruple only for some …
proving that such a set cannot be extended to an irregular D (4)-quadruple only for some …
ON THE EXTENSIBILITY OF D (4)-PAIR {k? 2, k+ 2}
L Bacic, A Filipin - Journal of Combinatorics and Number …, 2013 - search.proquest.com
Bacic and Filipin examine the Rickert theorem. They transform the problem of the extension
of D (4)-triple to solving simultaneous pellian equation and it furthermore leads to finding …
of D (4)-triple to solving simultaneous pellian equation and it furthermore leads to finding …
The extension of some D (4)-pairs
A Filipin - arXiv preprint arXiv:1705.08005, 2017 - arxiv.org
In this paper we illustrate the use of the results from [1] proving that $ D (4) $-triple $\{a, b, c\}
$ with $ a< b< a+ 57\sqrt {a} $ has a unique extension to a quadruple with a larger element …
$ with $ a< b< a+ 57\sqrt {a} $ has a unique extension to a quadruple with a larger element …