Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

Delete all

Arithmetics of cyclotomic polynomials

2012/07/D/ST1/02111

Keywords:

cyclotomic polynomial

Descriptors:

  • ST1_3: Number theory
  • ST1_2: Algebra

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet im. Adama Mickiewicza w Poznaniu, Wydział Matematyki i Informatyki

woj. wielkopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Bartłomiej Bzdęga 

Number of co-investigators in the project: 1

Call: SONATA 4 - announced on 2012-09-15

Amount awarded: 88 800 PLN

Project start date (Y-m-d): 2013-08-01

Project end date (Y-m-d): 2016-07-31

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. laptop (3 000 PLN)

Information in the final report

  • Publication in academic press/journals (5)
  1. On a certain family of inverse ternary cyclotomic polynomials
    Authors:
    Bartłomiej Bzdęga
    Academic press:
    Journal of Number Theory (rok: 2014, tom: 141, strony: 45305), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jnt.2014.01.019 - link to the publication
  2. On a generalization of Beiter conjecture
    Authors:
    Bartłomiej Bzdęga
    Academic press:
    Acta Arithmetica (rok: 2016, tom: 173, strony: 133-140), Wydawca: IM PAN
    Status:
    Published
    DOI:
    0.4064/aa8119-1-2016 - link to the publication
  3. Products of cyclotomic polynomials on unit circle
    Authors:
    Bartłomiej Bzdęga
    Academic press:
    International Journal of Number Theory (rok: 2017, tom: 13, strony: 2515 - 2530), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S1793042117501408 - link to the publication
  4. Inclusion-exclusion polynomials with large coefficients
    Authors:
    Bartłomiej Bzdęga
    Academic press:
    Integers (rok: 2013, tom: 13, strony: A74), Wydawca: De Gruyter
    Status:
    Published
  5. Jumps of ternary cyclotomic coefficients
    Authors:
    Bartłomiej Bzdęga
    Academic press:
    Acta Arithmetica (rok: 2014, tom: 163, strony: 203-213), Wydawca: IM PAN
    Status:
    Published
    DOI:
    10.4064/aa163-3-2 - link to the publication