Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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p-adic properties of certain combinatorial sequences and subsets of the set of non-negative integers

2018/29/N/ST1/00470

Keywords:

permutations p-adic valuations denseness in p-adic topology

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. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

Piotr Miska 

Number of co-investigators in the project: 2

Call: PRELUDIUM 15 - announced on 2018-03-15

Amount awarded: 98 038 PLN

Project start date (Y-m-d): 2019-03-12

Project end date (Y-m-d): 2023-03-11

Project duration:: 48 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

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

Equipment purchased [PL]

  1. Notebook (5 200 PLN)

Information in the final report

  • Publication in academic press/journals (8)
  1. Characteristics of Distributions of Sets and Their (R)- and (N)-Denseness
    Authors:
    Piotr Miska, János T. Tóth
    Academic press:
    Results in Mathematics (rok: 2023, tom: 78, strony: 33 pp.), Wydawca: SPRINGER BASEL AG
    Status:
    Published
    DOI:
    10.1007/s00025-022-01830-1 - link to the publication
  2. On distribution of subsequences of primes having prime indices with respect to the $(R)$-denseness and convergence exponent
    Authors:
    Piotr Miska, János T. Tóth, Błażej Żmija
    Academic press:
    Bulletin de la Société Mathématique de France (rok: 2022, tom: nie dotyczy, strony: 16 pp.), Wydawca: FRENCH MATHEMATICAL SOC
    Status:
    Submitted
    DOI:
    brak - link to the publication
  3. $p$-adic quotient sets: diagonal forms
    Authors:
    Deepa Antony, Rupam Barman, Piotr Miska
    Academic press:
    Monatshefte fur Mathematik (rok: 2022, tom: 119, strony: 461-470), Wydawca: Springer Wien
    Status:
    Published
    DOI:
    10.1007/s00013-022-01785-3 - link to the publication
  4. On Consecutive 1's in Continued Fractions Expansions of Square Roots of Prime Numbers
    Authors:
    Piotr Miska, Maciej Ulas
    Academic press:
    Experimental Mathematics (rok: 2019, tom: nie dotyczy, strony: 14 pp.), Wydawca: Taylor & Francis Inc.
    Status:
    Published
    DOI:
    10.1080/10586458.2019.1605319 - link to the publication
  5. On some properties of the number of permutations being products of pairwise disjoint d-cycles
    Authors:
    Piotr Miska, Maciej Ulas
    Academic press:
    Monatshefte fur Mathematik (rok: 2020, tom: 192, strony: 125-183), Wydawca: Springer Wien
    Status:
    Published
    DOI:
    10.1007/s00605-020-01397-5 - link to the publication
  6. On Waring numbers of henselian rings
    Authors:
    Tomasz Kowalczyk, Piotr Miska
    Academic press:
    Mathematika (rok: 2023, tom: nie dotyczy, strony: 33 pp.), Wydawca: WILEY
    Status:
    Submitted
    DOI:
    brak - link to the publication
  7. A note on p-adic denseness of quotients of values of quadratic forms
    Authors:
    Piotr Miska
    Academic press:
    Indagationes Mathematicae (rok: 2021, tom: 32, strony: 639-645), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.indag.2021.01.003 - link to the publication
  8. On two conjectures regarding generalized sequence of derangements
    Authors:
    Eryk Lipka, Florian Luca, Piotr Miska
    Academic press:
    Functiones et Approximatio Commentarii Mathematici (rok: 2022, tom: 67, strony: 223-234), Wydawca: Faculty of Mathematics and Computer Science of Adam Mickiewicz University
    Status:
    Published
    DOI:
    10.7169/facm/1989 - link to the publication

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