I am an Assistant professor at University of Split, Faculty of science.
My current research focuses on diophantine equations, more precisely, Diophantine m-tuples and related problems.
For more info on the Diophantine m-tuples problem: Andrej Dujella's Diophantine m-tuples website
Publications
Published/ To appear
- M. Bliznac, A. Filipin, An upper bound for the number of Diophantine quintuples, Bull. Aust. Math. Soc. 94 (2016), 384-394. doi:10.1017/S0004972716000423
- M. Bliznac Trebješanin, A. Filipin, A. Jurasić, On the polynomial quadruples with the property D(-1;1), Tokyo J. Math. 41 (2018), 527-540. doi:10.3836/tjm/1502179250
- M. Bliznac Trebješanin, A. Filipin, Nonexistence of D(4)-quintuples, J. Number Theory 194 (2019), 170-217 doi:10.1016/j.jnt.2018.07.013
- M. Bliznac Trebješanin, Extension of a Diophantine triple with the property D(4), Acta Math. Hungar. 163 (2021), 213-246. doi:10.1007/s10474-020-01128-0
- M. Bliznac Trebješanin, D(4)-triples with two largest elements in common, preprint, Mathematica Slovaca 2022., to appear arxiv preprint
Preprints
- K. N. Adedji, M. Bliznac Trebješanin, A. Filipin and A. Togbe, On the D(4)-pairs {a, ka} with k in {2,3,6}, preprint.