Dr. Jonas Jankauskas Postdoctoral FellowMathematik und Statistik Montanuniversität Leoben Franz Josef Straße 18 A-8700 Leoben Austria |

My Vita [EN] [LT] | Research Statement | Teaching Statement | Complete List of Publications | Doctoral thesis | Thesis Summary [LT] |

During my doctoral studies, I studied how the different heights of polynomials *P(x)* (the naive height *H(P)*, the length *L(P)*, the number of nonzero terms, the Mahler measure *M(P)*, the *L ^{s}* norm

21. | Characterization of rational matrices that admit finite digit systems, (submitted). (with J. Thuswaldner) |

20. | On certain multiples of Littlewood and Newman polynomials, (submitted). (with P. Drungilas, L. Klebonas and G. Junevičius) |

19. | Binary words, winding numbers and polynomials with interlaced roots, (submitted). |

18. | On Littlewood and Newman polynomial multiples of Borwein polynomials, Mathematics of Computation, (to appear). (with P. Drungilas and J. Šiurys) |

17. | No two non-real conjugates of a Pisot number have the same imaginary part, Mathematics of Computation, 86 (304) (2017), 335--350. (with A. Dubickas and K. G. Hare) |

16. | On linear relations between conjugate algebraic numbers of low degree, Journal of the Ramanujan Mathematical Society, 30 (2) (2015) 219--235. (with A. Dubickas) |

15. | On Littlewood polynomials with prescribed number of zeros inside the unit disk, Canadian Journal of Mathematics, 67 (3) (2015) 507--526. (with P. Borwein, S. Choi and R. Ferguson) |

14. | On fractional parts of powers of Pisot numbers of length at most 4, Journal of Number Theory, 144 (2014) 325--339. (with A. Dubickas) |

13. | On relations for rings generated by algebraic numbers and their conjugates, Annali di Matematica Pura ed Applicata, 194 (2) (2015) 369--385. (with P. Drungilas and A. Dubickas) |

12. | Extremal Mahler measures and L norms in the class of polynomials related to Barker sequences, _{s}Proceedings of the American Mathematical Society, 141 (8) (2013) 2653--2663. (with P. Borwein and S. K. K. Choi) |

11. | Nonreciprocal algebraic numbers of small Mahler's measure, Acta Arithmetica, 157 (4) (2013) 357--364. (with A. Dubickas) |

10. | Height reducing problem on algebraic integers, Functiones et Approximatio
Commentarii Mathematici, 47 (1) (2012), 105--119. (with S. Akiyama and P. Drungilas) |

9. | On a class of polynomials related to Barker sequences, Proceedings of the American Mathematical Society, 140 (8) (2012), 2613--2625. (with P. Borwein and S. Choi) |

8. | On the equation f(g(x)) = f(x)h for composite polynomials, ^{m}(x)Journal of the Australian Mathematical Society, 92 (2012), 155--161. (with H. Ganguli). |

7. | The t-metric Mahler measures of surds of rational numbers, Acta Mathematica Hungarica, 134 (4) (2012), 481--498. (with C. L. Samuels) |

6. | On the intersection of infinite geometric and arithmetic progressions, Bulletin of the Brazilian Mathematical Society, 41 (4) (2010), 551--566. (with A. Dubickas) |

5. | On Mahler measures of a self-inversive polynomial and its derivative, Bulletin of the London Mathemetical Society, 42 (2) (2010), 195--209. (with A. Dubickas) |

4. | On the reducibility of certain quadrinomials, Glasnik Matematički, 45 (65) (2010), 31--41. |

3. | On Newman polynomials which divide no Littlewood polynomial, Mathematics of Computation, 78 (265) (2009), 327--344. (with A. Dubickas) |

2. | The maximal value of polynomials with restricted coefficients, Journal of the Korean Mathematical Society, 46 (1) (2009), 41--49. (with A. Dubickas) |

1. | On the reduced height of a polynomial, Publicationes Mathematicae Debrecen , 17 (3-4) (2007), 325--348. (with A. Dubickas) |

- Skaičiavimo sistemos, kurių bazės matrica turi tikrinių reikšmių ant vienetinio apskritimo
*(in Lithuanian)*, slides - On Littlewood and Newman polynomial multiples of Borwein polynomials, slides
- Pisot-Salem numbers, interlacing and {0,1}-words, slides
- Simple linear relations between conjugate algebraic numbers, slides
- Tiesinės lygtys jungtiniams algebriniams skaičiams
*(in Lithuanian)*slides - On Littlewood polynomials with prescribed number of zeros inside the unit disk, slides
- Thesis defense presentation, slides
*(in Lithuanian)*, photos - Polinomai ir Barkerio sekos, LMD J. Kubiliaus seminaras slides
*(in Lithuanian)* - On a class of polynomials related to Barker sequences, slides
- On the intersection of infinite geometric and arithmetic progressions, slides
- On Newman polynomials which divide no Littlewood polynomial, slides

- 6-asis Lietuvos jaunųjų matematikų susitikimas, Kaunas Technology University, Kaunas, 29 December 2017.
- Vilnius Conference in Combinatorics and Number Theory, Vilnius University, Vilnius, July 16-22 2017. [abstract]
- 30th Journées Arithmétiques, University of Caen, Caen, Normandy, July 3-7 2017. [abstract] (photo)
- Numeration 2017, Roma Tre University in Rome, June 5-9 2017. [abstract]
- 5-asis Lietuvos jaunųjų matematikų susitikimas, Vilnius Tech Park, Vilnius, 29 December 2016.
- Numeration 2016, Czech Technical University in Prague, Prague, May 23-27 2016. [abstract] (photos)
- Sage Days 72, Czech Technical University in Prague, Prague, May 21-22 2016.
- 4-asis Lietuvos jaunųjų matematikų susitikimas, Vilnius University, Vilnius, 2 January 2016. (photos)
- 29th Journées Arithmétiques and Kálmán Győry 75 Symposium, Debrecen, Hungary, July 6-11, 2015. [abstracts] (photos)
- AMMCS-CAIMS 2015, Wilfrid Loriel University , Waterloo, Ontario, Canada, June 7-12, 2015. [abstract]
- 3-iasis Lietuvos jaunųjų matematikų susitikimas, KTU University, Kaunas, 2 January 2015 sausio 2. (photos)
- CNTA XIII, Carleton University, Ottawa, June 16-20, 2014, [abstract]
- 2014 CMS Summer Meeting, Winnipeg, Manitoba, Canada, June 6-9, 2014, [abstract] (photos)
- PNWNTC 2014, Burnaby BC, Canada, May 17-18, 2014 (photos)
- PNWNTC 2013, Seattle, USA, June 1-2, 2013 (photos)
- 27th Journées Arithmétiques, Vilnius, Lithuania, June 27-July 1, 2011. [abstract] (photos)
- Heights 2011, Tossa de Mar, Spain, April 25-30, 2011, (photos) [abstract]
- Research visit to Peter Borwein at IRMACS, Simon Fraser University. Burnaby, British Columbia, Canada, September 1, 2010 - January 30, 2011. (photos)
- PIMS/SFU/UBC Number Theory Seminar, October 7, 2010
- 19th Czech and Slovak International Conference on Number Theory, Hradec nad Moravicí, Czech Republic, August 31-September 4, 2009. (photo)
- Winter School On Explicit Methods in Number Theory , Institute of Mathematics, Univercity of Debrecen, Debrecen, Hungary, January 26-30, 2009
- Number Theory seminar, The School of Mathematics, University of Edinburgh (a visit to Chris Smyth), Edinburgh, Scotland, November 2-8 2008
- Journée Diophantienne , L'Institut de Recherche Mathématique Avancée, L’Université de Strasbourg, Strasbourg, France, October 20-25, 2008
- International Conference on Number Theory, dedicated to the 60th birthday of A.Laurinčikas, Šiauliai, Lithuania, August 11-15, 2008

My collaborators | Websites and resources |
---|---|

Shigeki Akiyama | Number Theory Web |

Peter Borwein | MIFMO |

Stephen Choi | Mathematics Genealogy Project |

Artūras Dubickas | MathJobs.org |

Paulius Drungilas | MathSciNet |

Kevin G. Hare | CV Template |

Charles Samuels | |

Jonas Šiurys |