Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

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On various properties of special block-additive functions

2020/37/N/ST1/02655

Keywords:

block-additive functions regular sequences automatic sequences occurrences of blocks sum of digits radix representation asymptotic density

Descriptors:

  • ST1_3: Number theory
  • ST1_14: Discrete mathematics and combinatorics

Panel:

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

Host institution :

Uniwersytet Jagielloński, Wydział Matematyki i Informatyki

woj.

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Bartosz Grzegorz Sobolewski 

Number of co-investigators in the project: 2

Call: PRELUDIUM 19 - announced on 2020-03-16

Amount awarded: 80 952 PLN

Project start date (Y-m-d): 2021-02-01

Project end date (Y-m-d): 2023-08-31

Project duration:: 31 months (the same as in the proposal)

Project status: Project settled

Project description

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Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (4)
  1. On monochromatic arithmetic progressions in binary words associated with pattern sequences
    Authors:
    Bartosz Sobolewski
    Academic press:
    Discrete Mathematics (rok: 2022, tom: brak danych, strony: 32), Wydawca: Elsevier
    Status:
    Submitted
  2. Block occurrences in the binary expansions of n and n+t
    Authors:
    Bartosz Sobolewski
    Academic press:
    SIAM Journal on Discrete Mathematics (rok: 2024, tom: nie dotyczy, strony: 35), Wydawca: Society for Industrial and Applied Mathematics
    Status:
    Submitted
  3. On monochromatic arithmetic progressions in binary words associated with pattern sequences
    Authors:
    Bartosz Sobolewski
    Academic press:
    Theoretical Computer Science (rok: 2024, tom: 1018, strony: Article 114815), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.tcs.2024.114815 - link to the publication
  4. Block occurrences in the binary expansion
    Authors:
    Bartosz Sobolewski, Lukas Spiegelhofer
    Academic press:
    International Journal of Number Theory (rok: 2023, tom: nie dotyczy, strony: 22 strony), Wydawca: World Scientific
    Status:
    Accepted for publication

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