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Filipin, Alan

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Author ID: filipin.alan Recent zbMATH articles by "Filipin, Alan"
Published as: Filipin, A.; Filipin, Alan
External Links: MGP · Wikidata
Documents Indexed: 41 Publications since 2005
Reviewing Activity: 6 Reviews

Publications by Year

Citations contained in zbMATH

26 Publications have been cited 132 times in 51 Documents Cited by Year
On Diophantine quintuples and \(D(-1)\)-quadruples. Zbl 1347.11030
Elsholtz, Christian; Filipin, Alan; Fujita, Yasutsugu
15
2014
Effective solution of the \(D(-1)\)-quadruple conjecture. Zbl 1137.11019
Dujella, Andrej; Filipin, Alan; Fuchs, Clemens
14
2007
The extendibility of Diophantine pairs. II: Examples. Zbl 1308.11033
Filipin, Alan; Fujita, Yasutsugu; Togbé, Alain
11
2014
The extendibility of diophantine pairs. I: The general case. Zbl 1308.11034
Filipin, Alan; Fujita, Yasutsugu; Togbé, Alain
10
2014
The number of Diophantine quintuples II. Zbl 1289.11031
Filipin, Alan; Fujita, Yasutsugu
10
2013
Bounds for Diophantine quintuples. II. Zbl 1363.11048
Cipu, Mihai; Filipin, Alan; Fujita, Yasutsugu
7
2016
On the size of sets in which \(xy + 4\) is always a square. Zbl 1230.11037
Filipin, Alan
7
2009
There does not exist a \(D(4)\)-sextuple. Zbl 1144.11029
Filipin, Alan
7
2008
Nonextendibility of \(D(-1)\)-triples of the form \(\{1,10,c\}\). Zbl 1085.11016
Filipin, Alan
7
2005
There are only finitely many \(D(4)\)-quintuples. Zbl 1237.11014
Filipin, Alan
6
2011
The additive unit structure of pure quartic complex fields. Zbl 1260.11064
Filipin, Alan; Tichy, Robert; Ziegler, Volker
6
2008
An irregular \(D(4)\)-quadruple cannot be extended to a quintuple. Zbl 1228.11036
Filipin, Alan
5
2009
On the quantitative unit sum number problem – an application of the subspace theorem. Zbl 1229.11128
Filipin, Alan; Tichy, Robert; Ziegler, Volker
5
2008
Nonexistence of \(D(4)\)-quintuples. Zbl 1434.11077
Bliznac Trebješanin, Marija; Filipin, Alan
4
2019
The number of \(D(-1)\)-quadruples. Zbl 1213.11067
Filipin, Alan; Fujita, Yasutsugu
4
2010
A polynomial variant of a problem of Diophantus and its consequences. Zbl 07134790
Filipin, Alan; Jurasić, Ana
2
2019
An upper bound for the number of diophantine quintuples. Zbl 1419.11052
Bliznac, Marija; Filipin, Alan
2
2016
The non-extendibility of some parametric families of \(D(-1)\)-triples. Zbl 1255.11015
Filipin, Alan; Fujita, Yasutsugu; Mignotte, Maurice
2
2012
The extension of some \(D(4)\)-pairs. Zbl 1386.11056
Filipin, Alan
1
2017
The extendibility of \(D(4)\)-pairs \(\{F_{2k}, F_{2k+6}\}\) and \(\{P_{2k}, P_{2k+4}\}\). Zbl 1383.11031
Đuračković, Ljubica Baćić; Filipin, Alan
1
2016
The extendibility of \(D(4)\)-pair \(\{F_{2k},5F_{2k}\}\). Zbl 1397.11070
Filipin, Alan
1
2015
On a family of two-parametric \(D(4)\)-triples. Zbl 1251.11015
Filipin, Alan; He, Bo; Togbé, Alain
1
2012
The \(D(-k^2)\)-triple \(\{1,k^2+1,k^2+4\}\) with \(k\) prime. Zbl 1263.11043
Filipin, Alan; Fujita, Yasutsugu
1
2011
On the \(D(4)\)-triple \(\{ F_{2k}, F_{2k+6}, 4F_{2k+4}\}\). Zbl 1222.11044
Filipin, Alan; He, Bo; Togbé, Alain
1
2010
Any polynomial \(D(4)\)-quadruple is regular. Zbl 1144.11024
Filipin, Alan; Fujita, Yasutsugu
1
2008
Extensions of some parametric families of \(D(16)\)-triples. Zbl 1142.11014
Filipin, Alan
1
2007
Nonexistence of \(D(4)\)-quintuples. Zbl 1434.11077
Bliznac Trebješanin, Marija; Filipin, Alan
4
2019
A polynomial variant of a problem of Diophantus and its consequences. Zbl 07134790
Filipin, Alan; Jurasić, Ana
2
2019
The extension of some \(D(4)\)-pairs. Zbl 1386.11056
Filipin, Alan
1
2017
Bounds for Diophantine quintuples. II. Zbl 1363.11048
Cipu, Mihai; Filipin, Alan; Fujita, Yasutsugu
7
2016
An upper bound for the number of diophantine quintuples. Zbl 1419.11052
Bliznac, Marija; Filipin, Alan
2
2016
The extendibility of \(D(4)\)-pairs \(\{F_{2k}, F_{2k+6}\}\) and \(\{P_{2k}, P_{2k+4}\}\). Zbl 1383.11031
Đuračković, Ljubica Baćić; Filipin, Alan
1
2016
The extendibility of \(D(4)\)-pair \(\{F_{2k},5F_{2k}\}\). Zbl 1397.11070
Filipin, Alan
1
2015
On Diophantine quintuples and \(D(-1)\)-quadruples. Zbl 1347.11030
Elsholtz, Christian; Filipin, Alan; Fujita, Yasutsugu
15
2014
The extendibility of Diophantine pairs. II: Examples. Zbl 1308.11033
Filipin, Alan; Fujita, Yasutsugu; Togbé, Alain
11
2014
The extendibility of diophantine pairs. I: The general case. Zbl 1308.11034
Filipin, Alan; Fujita, Yasutsugu; Togbé, Alain
10
2014
The number of Diophantine quintuples II. Zbl 1289.11031
Filipin, Alan; Fujita, Yasutsugu
10
2013
The non-extendibility of some parametric families of \(D(-1)\)-triples. Zbl 1255.11015
Filipin, Alan; Fujita, Yasutsugu; Mignotte, Maurice
2
2012
On a family of two-parametric \(D(4)\)-triples. Zbl 1251.11015
Filipin, Alan; He, Bo; Togbé, Alain
1
2012
There are only finitely many \(D(4)\)-quintuples. Zbl 1237.11014
Filipin, Alan
6
2011
The \(D(-k^2)\)-triple \(\{1,k^2+1,k^2+4\}\) with \(k\) prime. Zbl 1263.11043
Filipin, Alan; Fujita, Yasutsugu
1
2011
The number of \(D(-1)\)-quadruples. Zbl 1213.11067
Filipin, Alan; Fujita, Yasutsugu
4
2010
On the \(D(4)\)-triple \(\{ F_{2k}, F_{2k+6}, 4F_{2k+4}\}\). Zbl 1222.11044
Filipin, Alan; He, Bo; Togbé, Alain
1
2010
On the size of sets in which \(xy + 4\) is always a square. Zbl 1230.11037
Filipin, Alan
7
2009
An irregular \(D(4)\)-quadruple cannot be extended to a quintuple. Zbl 1228.11036
Filipin, Alan
5
2009
There does not exist a \(D(4)\)-sextuple. Zbl 1144.11029
Filipin, Alan
7
2008
The additive unit structure of pure quartic complex fields. Zbl 1260.11064
Filipin, Alan; Tichy, Robert; Ziegler, Volker
6
2008
On the quantitative unit sum number problem – an application of the subspace theorem. Zbl 1229.11128
Filipin, Alan; Tichy, Robert; Ziegler, Volker
5
2008
Any polynomial \(D(4)\)-quadruple is regular. Zbl 1144.11024
Filipin, Alan; Fujita, Yasutsugu
1
2008
Effective solution of the \(D(-1)\)-quadruple conjecture. Zbl 1137.11019
Dujella, Andrej; Filipin, Alan; Fuchs, Clemens
14
2007
Extensions of some parametric families of \(D(16)\)-triples. Zbl 1142.11014
Filipin, Alan
1
2007
Nonextendibility of \(D(-1)\)-triples of the form \(\{1,10,c\}\). Zbl 1085.11016
Filipin, Alan
7
2005

Citations by Year

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