Dr. Jonas Jankauskas Postdoctoral FellowDepartment of Pure MathematicsUniversity of Waterloo 200 University Avenue West Waterloo, Ontario Canada V2L 3G1 Office: MC 4032 |

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

I am interested 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

18. | There are no two non-real conjugates of a Pisot number with the same imaginary part, (submitted). (with A. Dubickas, K. G. Hare) |

17. | Simple linear relations with conjugate algebraic numbers of low degree, (submitted). (with A. Dubickas) |

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

15. | On fractional parts of powers of Pisot numbers of length at most 4, J. of Number Theory, (to appear). (with A. Dubickas) |

14. | On Littlewood polynomials with prescribed number of zeros inside the unit disk, Canad. J. Math., (to appear). (with P. Borwein, S. Choi and R. Ferguson) |

13. | On relations for rings generated by algebraic numbers and their conjugates, Ann. Mat. Pura Appl., (to appear). (with A. Dubickas and P. Drungilas) |

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

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

10. | Height reducing problem on algebraic integers, Funct. Approx. Comment. Math. 47 (1) (2012), 105--119. (with S. Akiyama and P. Drungilas) |

9. | On a class of polynomials related to Barker sequences, Proceedings of Amer. Math. Soc., 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)J. Aust. Math. Soc. 92 (2012), 155--161. (with H. Ganguli). |

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

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

5. | On Mahler measures of a self-inversive polynomial and its derivative, Bull. London Math. Soc., 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, Publ. Math. Debrecen , 17 (3-4) (2007), 325--348.(with A. Dubickas) |

- On Littlewood polynomials with prescribed number of zeros inside the unit disk, slides
- Thesis defense presentation, slides
*(in Lithuanian)*, photos - Polynomials and Barker sequences, LMD J. Kubiliaus seminar slides
*(in Lithuanian)* - On a class of polynomials related to Barker sequences, slides, abstract.
- On the intersection of infinite geometric and arithmetic progressions, slides.
- On Newman polynomials which divide no Littlewood polynomial, slides.

- CNTA XIII, Carleton University, Ottawa, June 16-20, 2014
- 2014 CMS Summer Meeting, Winnipeg, Manitoba, Canada, June 6-9, 2014 (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 (photos)
- Heights 2011, Tossa de Mar, Spain, April 25-30, 2011
- Research visit to Peter Borwein at IRMACS, Simon Fraser University. Burnaby, British Columbia, Canada, September 1, 2010 - January 30, 2011
- PIMS/SFU/UBC Number Theory Seminar, October 7, 2010
- 19th Czech and Slovak International Conference on Number Theory, August 31-September 4, 2009, Hradec nad Moravicí, Czech Republic (photo)
- Winter School On Explicit Methods in Number Theory , Institute of Mathematics, Univercity of Debrecen, January 26-30, 2009, Debrecen, Hungary
- Number Theory seminar, The School of Mathematics, University of Edinburgh (a visit to Chris Smyth), November 2-8, Edinburgh, Scotland
- Journée Diophantienne , October 20-25, 2008, L'Institut de Recherche Mathématique Avancée, L’Université de Strasbourg, Strasbourg, France
- International Conference on Number Theory, dedicated to the 60th birthday of A.Laurinčikas, August 11-15, 2008, Šiauliai, Lithuania

My Collaborators | Mathematical Websites |
---|---|

Shigeki Akiyama | Number Theory Web |

Peter Borwein | MIFMO |

Stephen Choi | Mathematics Genealogy Project |

Artūras Dubickas | MathJobs.org |

Paulius Drungilas | MathSciNet |

Himadri Ganguli | |

Charles Samuels |