[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
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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) …
[PDF][PDF] On the torsion group of elliptic curves induced by (4)-triples
Abstract AD (4)-m-tuple is a set of m integers such that the product of any two of them
increased by 4 is a perfect square. A problem of extendibility of D (4)-m-tuples is closely …
increased by 4 is a perfect square. A problem of extendibility of D (4)-m-tuples is closely …
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 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 …
ON the D(4)-Triple {F2k, F2k+6, 4F2k+4}
A Filipin, B He, A Togbe - The Fibonacci Quarterly, 2010 - Taylor & Francis
Let k be a positive integer. In this paper we study the D (4)-quadruples {F 2 k, F 2 k+ 6, 4 F 2
k+ 4, d}, where Fk is ak th Fibonacci number. We prove that if d is a positive integer such that …
k+ 4, d}, where Fk is ak th Fibonacci number. We prove that if d is a positive integer such that …
The number of D (-1)-quadruples
A Filipin, Y Fujita - Mathematical communications, 2010 - hrcak.srce.hr
The number of D(−1)-quadruples 1. Introduction Page 1 MATHEMATICAL COMMUNICATIONS
387 Math. Commun., Vol. 15, No. 2, pp. 387-391 (2010) The number of D(−1)-quadruples Alan …
387 Math. Commun., Vol. 15, No. 2, pp. 387-391 (2010) The number of D(−1)-quadruples Alan …
The extensibility of -pairs
L Baćić, A Filipin - Mathematical Communications, 2013 - hrcak.srce.hr
Sažetak The set of $ m $ positive integers with the property that the product of any two of
them increased by $4 $ is a perfect square is called a $ D (4) $-$ m $-tuple. In this paper we …
them increased by $4 $ is a perfect square is called a $ D (4) $-$ m $-tuple. In this paper we …