Edit Profile Filipin, Alan Compute Distance To: Compute Author ID: filipin.alan Published as: Filipin, A.; Filipin, Alan External Links: MGP · Wikidata Documents Indexed: 41 Publications since 2005 Reviewing Activity: 6 Reviews all top 5 Co-Authors 9 single-authored 12 Fujita, Yasutsugu 7 Togbé, Alain 4 Baćić, Ljubica 3 Cipu, Mihai 3 Jurasić, Ana 2 Bayad, Abdelmejid 2 Bliznac Trebješanin, Marija 2 He, Bo 2 Tichy, Robert Franz 2 Ziegler, Volker 1 Adžaga, Nikola 1 Bliznac, Marija 1 Bujačić, Sanda 1 Dossavi-Yovo, Appolinaire 1 Dujella, Andrej 1 Đuračković, Ljubica Baćić 1 Elsholtz, Christian 1 Fuchs, Clemens 1 Mignotte, Maurice all top 5 Serials 4 Journal of Number Theory 4 Glasnik Matematički. Serija III 4 Mathematical Communications 3 Acta Arithmetica 2 Rocky Mountain Journal of Mathematics 2 The Fibonacci Quarterly 2 International Journal of Mathematics and Mathematical Sciences 2 Publicationes Mathematicae 2 Rad Hrvatske Akademije Znanosti i Umjetnosti. Matematičke Znanosti 2 Notes on Number Theory and Discrete Mathematics 1 Bulletin of the Australian Mathematical Society 1 Functiones et Approximatio. Commentarii Mathematici 1 Monatshefte für Mathematik 1 Tokyo Journal of Mathematics 1 Acta Mathematica Hungarica 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Acta Mathematica Academiae Paedagogicae Nyíregyháziensis. New Series 1 The Quarterly Journal of Mathematics 1 Moscow Mathematical Journal 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Miskolc Mathematical Notes 1 Journal of Combinatorics and Number Theory Fields 41 Number theory (11-XX) Publications by Year all cited Publications top 5 cited Publications 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 1347.11030Elsholtz, Christian; Filipin, Alan; Fujita, Yasutsugu 15 2014 Effective solution of the \(D(-1)\)-quadruple conjecture. Zbl 1137.11019Dujella, Andrej; Filipin, Alan; Fuchs, Clemens 14 2007 The extendibility of Diophantine pairs. II: Examples. Zbl 1308.11033Filipin, Alan; Fujita, Yasutsugu; Togbé, Alain 11 2014 The extendibility of diophantine pairs. I: The general case. Zbl 1308.11034Filipin, Alan; Fujita, Yasutsugu; Togbé, Alain 10 2014 The number of Diophantine quintuples II. Zbl 1289.11031Filipin, Alan; Fujita, Yasutsugu 10 2013 Bounds for Diophantine quintuples. II. Zbl 1363.11048Cipu, Mihai; Filipin, Alan; Fujita, Yasutsugu 7 2016 On the size of sets in which \(xy + 4\) is always a square. Zbl 1230.11037Filipin, Alan 7 2009 There does not exist a \(D(4)\)-sextuple. Zbl 1144.11029Filipin, Alan 7 2008 Nonextendibility of \(D(-1)\)-triples of the form \(\{1,10,c\}\). Zbl 1085.11016Filipin, Alan 7 2005 There are only finitely many \(D(4)\)-quintuples. Zbl 1237.11014Filipin, Alan 6 2011 The additive unit structure of pure quartic complex fields. Zbl 1260.11064Filipin, Alan; Tichy, Robert; Ziegler, Volker 6 2008 An irregular \(D(4)\)-quadruple cannot be extended to a quintuple. Zbl 1228.11036Filipin, Alan 5 2009 On the quantitative unit sum number problem – an application of the subspace theorem. Zbl 1229.11128Filipin, Alan; Tichy, Robert; Ziegler, Volker 5 2008 Nonexistence of \(D(4)\)-quintuples. Zbl 1434.11077Bliznac Trebješanin, Marija; Filipin, Alan 4 2019 The number of \(D(-1)\)-quadruples. Zbl 1213.11067Filipin, Alan; Fujita, Yasutsugu 4 2010 A polynomial variant of a problem of Diophantus and its consequences. Zbl 07134790Filipin, Alan; Jurasić, Ana 2 2019 An upper bound for the number of diophantine quintuples. Zbl 1419.11052Bliznac, Marija; Filipin, Alan 2 2016 The non-extendibility of some parametric families of \(D(-1)\)-triples. Zbl 1255.11015Filipin, Alan; Fujita, Yasutsugu; Mignotte, Maurice 2 2012 The extension of some \(D(4)\)-pairs. Zbl 1386.11056Filipin, Alan 1 2017 The extendibility of \(D(4)\)-pairs \(\{F_{2k}, F_{2k+6}\}\) and \(\{P_{2k}, P_{2k+4}\}\). Zbl 1383.11031Đuračković, Ljubica Baćić; Filipin, Alan 1 2016 The extendibility of \(D(4)\)-pair \(\{F_{2k},5F_{2k}\}\). Zbl 1397.11070Filipin, Alan 1 2015 On a family of two-parametric \(D(4)\)-triples. Zbl 1251.11015Filipin, Alan; He, Bo; Togbé, Alain 1 2012 The \(D(-k^2)\)-triple \(\{1,k^2+1,k^2+4\}\) with \(k\) prime. Zbl 1263.11043Filipin, Alan; Fujita, Yasutsugu 1 2011 On the \(D(4)\)-triple \(\{ F_{2k}, F_{2k+6}, 4F_{2k+4}\}\). Zbl 1222.11044Filipin, Alan; He, Bo; Togbé, Alain 1 2010 Any polynomial \(D(4)\)-quadruple is regular. Zbl 1144.11024Filipin, Alan; Fujita, Yasutsugu 1 2008 Extensions of some parametric families of \(D(16)\)-triples. Zbl 1142.11014Filipin, Alan 1 2007 Nonexistence of \(D(4)\)-quintuples. Zbl 1434.11077Bliznac Trebješanin, Marija; Filipin, Alan 4 2019 A polynomial variant of a problem of Diophantus and its consequences. Zbl 07134790Filipin, Alan; Jurasić, Ana 2 2019 The extension of some \(D(4)\)-pairs. Zbl 1386.11056Filipin, Alan 1 2017 Bounds for Diophantine quintuples. II. Zbl 1363.11048Cipu, Mihai; Filipin, Alan; Fujita, Yasutsugu 7 2016 An upper bound for the number of diophantine quintuples. Zbl 1419.11052Bliznac, Marija; Filipin, Alan 2 2016 The extendibility of \(D(4)\)-pairs \(\{F_{2k}, F_{2k+6}\}\) and \(\{P_{2k}, P_{2k+4}\}\). Zbl 1383.11031Đuračković, Ljubica Baćić; Filipin, Alan 1 2016 The extendibility of \(D(4)\)-pair \(\{F_{2k},5F_{2k}\}\). Zbl 1397.11070Filipin, Alan 1 2015 On Diophantine quintuples and \(D(-1)\)-quadruples. Zbl 1347.11030Elsholtz, Christian; Filipin, Alan; Fujita, Yasutsugu 15 2014 The extendibility of Diophantine pairs. II: Examples. Zbl 1308.11033Filipin, Alan; Fujita, Yasutsugu; Togbé, Alain 11 2014 The extendibility of diophantine pairs. I: The general case. Zbl 1308.11034Filipin, Alan; Fujita, Yasutsugu; Togbé, Alain 10 2014 The number of Diophantine quintuples II. Zbl 1289.11031Filipin, Alan; Fujita, Yasutsugu 10 2013 The non-extendibility of some parametric families of \(D(-1)\)-triples. Zbl 1255.11015Filipin, Alan; Fujita, Yasutsugu; Mignotte, Maurice 2 2012 On a family of two-parametric \(D(4)\)-triples. Zbl 1251.11015Filipin, Alan; He, Bo; Togbé, Alain 1 2012 There are only finitely many \(D(4)\)-quintuples. Zbl 1237.11014Filipin, Alan 6 2011 The \(D(-k^2)\)-triple \(\{1,k^2+1,k^2+4\}\) with \(k\) prime. Zbl 1263.11043Filipin, Alan; Fujita, Yasutsugu 1 2011 The number of \(D(-1)\)-quadruples. Zbl 1213.11067Filipin, Alan; Fujita, Yasutsugu 4 2010 On the \(D(4)\)-triple \(\{ F_{2k}, F_{2k+6}, 4F_{2k+4}\}\). Zbl 1222.11044Filipin, Alan; He, Bo; Togbé, Alain 1 2010 On the size of sets in which \(xy + 4\) is always a square. Zbl 1230.11037Filipin, Alan 7 2009 An irregular \(D(4)\)-quadruple cannot be extended to a quintuple. Zbl 1228.11036Filipin, Alan 5 2009 There does not exist a \(D(4)\)-sextuple. Zbl 1144.11029Filipin, Alan 7 2008 The additive unit structure of pure quartic complex fields. Zbl 1260.11064Filipin, Alan; Tichy, Robert; Ziegler, Volker 6 2008 On the quantitative unit sum number problem – an application of the subspace theorem. Zbl 1229.11128Filipin, Alan; Tichy, Robert; Ziegler, Volker 5 2008 Any polynomial \(D(4)\)-quadruple is regular. Zbl 1144.11024Filipin, Alan; Fujita, Yasutsugu 1 2008 Effective solution of the \(D(-1)\)-quadruple conjecture. Zbl 1137.11019Dujella, Andrej; Filipin, Alan; Fuchs, Clemens 14 2007 Extensions of some parametric families of \(D(16)\)-triples. Zbl 1142.11014Filipin, Alan 1 2007 Nonextendibility of \(D(-1)\)-triples of the form \(\{1,10,c\}\). Zbl 1085.11016Filipin, Alan 7 2005 all cited Publications top 5 cited Publications all top 5 Cited by 39 Authors 11 Filipin, Alan 10 Fujita, Yasutsugu 9 Togbé, Alain 8 Ziegler, Volker 7 He, Bo 6 Cipu, Mihai 5 Dujella, Andrej 3 Lapkova, Kostadinka 3 Miyazaki, Takafumi 3 Petričević, Vinko 3 Tichy, Robert Franz 2 Frei, Christopher 2 Lee, June Bok 2 Mignotte, Maurice 2 Park, Jinseo 2 Ramasamy, A. M. S. 2 Soldo, Ivan 1 Adžaga, Nikola 1 Bayad, Abdelmejid 1 Bliznac Trebješanin, Marija 1 Bliznac, Marija 1 Bonciocat, Nicolae Ciprian 1 Bujačić, Sanda 1 Dossavi-Yovo, Appolinaire 1 Dudek, Adrian W. 1 Elsholtz, Christian 1 Franušić, Zrinka 1 Fuchs, Clemens 1 Jukić Bokun, Mirela 1 Kreso, Dijana 1 Pethő, Attila 1 Platt, David J. 1 Pu, Keli 1 Shen, Rulin 1 Tadić, Petra 1 Thuswaldner, Jörg Maximilian 1 Trudgian, Tim 1 Trudgian, Timothy S. 1 Wu, Wenquan all top 5 Cited in 26 Serials 8 Journal of Number Theory 5 Periodica Mathematica Hungarica 4 Monatshefte für Mathematik 3 Acta Mathematica Hungarica 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Bulletin of the Australian Mathematical Society 2 Rocky Mountain Journal of Mathematics 2 Archiv der Mathematik 2 Transactions of the American Mathematical Society 2 International Journal of Number Theory 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Indian Journal of Pure & Applied Mathematics 1 Acta Arithmetica 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of the Korean Mathematical Society 1 Mathematika 1 Proceedings of the Japan Academy. Series A 1 Tokyo Journal of Mathematics 1 Publicacions Matemàtiques 1 Indagationes Mathematicae. New Series 1 Journal de Théorie des Nombres de Bordeaux 1 The Ramanujan Journal 1 Asian-European Journal of Mathematics 1 Science China. Mathematics 1 Afrika Matematika 1 Journal of Ramanujan Society of Mathematics and Mathematical Sciences Cited in 2 Fields 51 Number theory (11-XX) 1 Field theory and polynomials (12-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.