Marija Bliznac Trebješanin

marbli at pmfst.hr

Faculty of Science
University of Split
Ruđera Boškovića 33
Split
Croatia

Some links:
Google Scholar Profile
ResearchGate Profile
Web of Science profile
ORCID number: 0000-0003-0640-5407

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, Mathematica Slovaca 73, no. 2 (2023), 343-352 doi.org/10.1515/ms-2023-0027
  • K. N. Adedji, M. Bliznac Trebješanin, A. Filipin and A. Togbe, On the D(4)-pairs {a, ka} with k in {2,3,6}, Glas. Mat. Ser. III, to appear, pdf preview.
Preprints
  • K. N. Adedji and M. Bliznac Trebješanin, On Mixed Concatenations of Pell and Pell-Lucas Numbers which are Pell Numbers, preprint, arxiv preprint
  • M. Bliznac Trebješanin and S. Bujacic Babic Polynomial D(4)-quadruples over Gaussian Integers, preprint, arxiv preprint
  • M. Bliznac Trebješanin and P. Radic, On extensions of D(4)-triples by adjoining smaller elements , preprint, arxiv preprint