Objavljeni radovi

Znanstveni članci

  1. A. Dujella, M. Kazalicki i V. Petričević, Rational Diophantine sextuples with strong pair, preprint. (9pp)

  2. A. Dujella, M. Kazalicki i V. Petričević, D(n)-quintuples with square elements, Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Math. RACSAM 115 (2021), Article 172, (10pp)

  3. A. Dujella, Z. Franušić i V. Petričević, Formulas for Diophantine quintuples containing two pairs of conjugates in some quadratic fields, Period. Math. Hungar. 85 (2022), 303-311.

  4. A. Dujella, M. Kazalicki i V. Petričević, Rational Diophantine sextuples containing two regular quadruples and one regular quintuple, Acta Mathematica Spalatensia 1 (2021), 19-27.

  5. A. Dujella i V. Petričević, Doubly regular Diophantine quadruples, Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Math. RACSAM 114 (2020), Article 189, (8pp)

  6. A. Dujella i V. Petričević, Diophantine quadruples with the properties D(n1) and D(n2), Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Math. RACSAM 114 (2020), Article 21, (9pp)

  7. A. Dujella i V. Petričević, On the largest element in D(n)-quadruples, Indag. Math. (N.S.) 30 (2019) 1079-1086.

  8. A. Dujella, M. Kazalicki i V. Petričević, Rational Diophantine sextuples with square denominators, J. Number Theory 205 (2019), 340-346.

  9. A. Dujella, I. Gusić, V. Petričević i P. Tadić, Strong Eulerian triples, Glas. Mat. Ser. III 53 (2018), 33-42.

  10. V. Petričević, Householder's approximants and continued fraction expansion of quadratic irrationals, Glasnik Matematički 48 (2013), 231-247.

  11. V. Petričević, Newton's approximants and continued fraction expansion of (1+√d)/2, Mathematical Communications 17 (2012), 389-409.

  12. A. Dujella i V. Petričević, Strong Diophantine triples, Experimental Mathematics 17 (2008), 83-89.

  13. A. Dujella i V. Petričević, Square roots with many good approximants, Integers 5(3) (2005), #A6. (13pp)

Ostali radovi

  1. V. Petričević: Konvergente verižnih razlomaka i Newtonovi aproksimanti za kvadratne iracionalnosti, disertacija, srpanj 2011.

  2. V. Petričević: Periodski verižni razlomci, magistarski rad, srpanj 2009.

  3. V. Petričević: Kongruentni brojevi i eliptičke krivulje, diplomski rad, listopad 2003.

Predavanja na konferencijama i seminarima

  1. Searching for a clique in a huge sparse graph, 8th Croatian Mathematical Congress, Osijek, 2-5.7.2024. (poster)

  2. (s A. Dujella) Searching for elliptic curves with high rank in the PARI/GP software package, Representation Theory XVIII, Dubrovnik, 18-24.6.2023.

  3. Searching for elliptic curves with high rank in the PARI/GP software package, TU Graz - Institute for Analysis and Number Theory, 15.12.2022.

  4. D(n)-quintuples with square elements, Representation Theory XVII, Dubrovnik, 3-8.10.2022.

  5. D(n)-quintuples with square elements, Diophantine m-tuples and related problems III, Zagreb, 14-16.9.2022.

  6. D(n)-quintuples with square elements, University of Salzburg, Department of Mathematics, 23.6.2022.

  7. (s A. Dujella i M. Kazalicki) D(n)-quintuples with square elements, Seventh Croatian Mathematical Congress, Split, 15.-18.6.2022. (poster)

  8. Traženje eliptičkih krivulja velikoga ranga u programskom paketu PARI/GP, Seminar za teoriju brojeva i algebru, Zagreb, 16.3.2022.

  9. Rational Diophantine sextuples, Representation Theory XVI, Dubrovnik, 24.-29.6.2019.

  10. (s A. Dujella, I. Gusić i P. Tadić) Strong Eulerian triples, Effective Methods for Diophantine Problems, Leiden, 18.-22.6.2018. (poster)

  11. Householder's approximants and continued fraction expansion of quadratic irrationals, Workshop on Number Theory and Algebra, Zagreb, 26.-28.11.2014.

  12. Householder's approximants and continued fraction expansion of quadratic irrationals, Multidimensional Continued Fractions, Graz, 22.-26.6.2013.

  13. Householder's approximants and continued fraction expansion of quadratic irrationals, Zahlentheoretisches Kolloquium, Graz, 15.-16.11.2012.

  14. Householder's approximants and continued fraction expansion of quadratic irrationals, The Fifteenth International Conference on Fibonacci Numbers and Their Applications, Eger, 25.-30.6.2012.

  15. Householder's approximants and continued fraction expansion of quadratic irrationals, Fifth Croatian Mathematical Congress, Rijeka, 18.-21.6.2012. (poster)

  16. (s A. Dujella) Strong Diophantine triples, Fourth Croatian Mathematical Congress, Osijek, 17.-20.6.2008. (poster)

Predavanja na stručnim skupovima

  1. Traženje klike u ogromnom rijetkom grafu, Dani e-infrastrukture 2024, Zagreb, 16.-19.4.2024. (poster)

  2. Traženje klike u ogromnom rijetkom grafu, Dani e-infrastrukture 2024, Zagreb, 16.-19.4.2024. (predavanje)

Knjige

  1. V. Petričević: LOGO za napredne, vlast. naklada, Vinkovci 2005. (271 stranica)

Vinko Petričević, 7. srpnja 2024.