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Popis radova:
1. A. Filipin, Non-extendibility of D(-1)-triples of the form {1,10,c}, Int. J. Math. Math. Sci. 35 (2005), 2217-2226.
2. A. Filipin, Extensions of some parametric families of D(16)-triples, Int. J. Math. Math. Sci., Volume 2007 (2007), Article ID 63739, 12 pages
3. A. Dujella, A. Filipin, C. Fuchs, Effective solution of the D(-1)-quadruple conjecture, Acta Arith. 128 (2007), 319-338.
4. A. Filipin, There does not exist a D(4)-sextuple, J. Number Theory, 128 (2008), 1555-1565.
5. A. Filipin, Y.Fujita, Any polynomial D(4)-quadruple is regular, Math. Commun., 13 (2008), 45-55.
6. A. Filipin, R. Tichy, V. Ziegler, The additive unit structure of purely quartic complex fields, Funct. Approx. Comment. Math., 39(2008), 1; 113-131.
7. A. Filipin, R. Tichy, V. Ziegler, On the quantitative unit sum number problem - An application of the subspace theorem, Acta Arith., 133(2008), 4; 297-308.
8. A. Filipin, An irregular D(4)-quadruple cannot be extended to a quintuple, Acta Arith., 139 (2009), 2; 167-176.
9. A. Filipin, On the size of sets in which xy+4 is always a square, Rocky Mount J. Math., 39 (2009) , 4; 1195-1224.
10. A. Filipin, A. Togbe, On the family of Diophantine triples {k+2,4k,9k+6}, Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis, 25 (2009) , 2; 145-153.
11. A. Filipin, There are only finitely many D(4)-quintuples, Rocky Mount J. Math., prihvaćen za objavljivanje
12. A. Filipin, On the polynomial paremetric family of the sets with the property D(-1;1), Boletine de la Sociedad Matematica Mexicana, prihvaćen za objavljivanje
13. A. Filipin, B. He, A. Togbe, On the D(4)-triple {F_{2k}, F_{2k+6}, 4F{2k+4}}, The Fibonacci quarterly, prihvaćen za objavljivanje
14. A. Filipin, Y. Fujita, The number of D(-1)-quadruples, Math. Commun., prihvaćen za objavljivanje
15. A. Filipin, B. He, A. Togbe, On a family of two-parametric D(4)-triples, preprint
16. A. Filipin, Y. Fujita, The D(-k^2)-triple {1,k^2+1,k^2+4} with k prime, preprint
Priopćenja na konferencijama:
1. A. Filipin, A. Dujella, C. Fuchs, On the D(-1)-quadruple conjecture, CNTA IX Meeting, Vancouver, Kanada, 14.7.2006.
2. A. Filipin, There does not exist a D(4)-sextuple, JA 2007, Edinburgh, Velika Britanija, 6.7.2007.
3. A. Filipin, R. Tichy, V. Ziegler, The unit sum number problem in some number fields, 4th Croatian Mathematical Congress, Osijek, 17.6.2008.
4. A. Filipin, Any D(4)-quintuple contains a regular quadruple, CNTA X Meeting, Waterloo, Kanada, 17.7.2008.
5. A. Filipin, Sets in which xy+4 is always a square, Winter School on Explicit Methods in Number Theory, Debrecen, Mađarska, 26.1.2009.
6. A. Filipin, There are only finitely many D(4)-quintuples, 26th Journées Arithmétiques, Saint-Etienne, Francuska, 9.7.2009.
7. A. Filipin, B. He, A. Togbe, On the uniqueness of extension of twoparametric family of D(4)-triples,ÖMG+DMV Conference, Graz, Austrija, 22.9.2009.
Pozivna predavanja:
1. A. Filipin, There are only finitely many D(-1)-quadruples, TU Graz, Austrija, 28.9.2006.
2. A. Filipin, The unit sum number problem of some number fields, TU Graz, Austrija, 14.12.2007.
3. A. Filipin, On D(4)-m-tuples, TU Graz, Austrija, 7.11.2008. |