p-adic properties of certain combinatorial sequences and subsets of the set of non-negative integers
2018/29/N/ST1/00470
Keywords
Descriptors
- ST1_3: Teoria liczb
- ST1_14: Kombinatoryka
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
Voivodeship: małopolskie
Principal investigator (from the host institution)
Number of co-investigators in the project: 2
Call
PRELUDIUM 15 – announced on 2018-03-15
- Amount awarded
- 98 038 PLN
- Project start date
- 2019-03-12
- Project end date
- 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]
- Notebook. Cost: 5 200 PLN
Information in the final report
Publication in academic press/journals (6)
-
A note on p-adic denseness of quotients of values of quadratic forms
- Authors:
- Piotr Miska
- Academic press:
- Indagationes Mathematicae (year: 2021, volume: 32, pages: 639-645), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.indag.2021.01.003 – link to the publication
-
On two conjectures regarding generalized sequence of derangements
- Authors:
- Eryk Lipka, Florian Luca, Piotr Miska
- Academic press:
- Functiones et Approximatio Commentarii Mathematici (year: 2022, volume: 67, pages: 223-234), Publisher: Faculty of Mathematics and Computer Science of Adam Mickiewicz University
- Status:
- Published
- DOI:
- 10.7169/facm/1989 – link to the publication
-
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 (year: 2020, volume: 192, pages: 125-183), Publisher: Springer Wien
- Status:
- Published
- DOI:
- 10.1007/s00605-020-01397-5 – link to the publication
-
$p$-adic quotient sets: diagonal forms
- Authors:
- Deepa Antony, Rupam Barman, Piotr Miska
- Academic press:
- Monatshefte fur Mathematik (year: 2022, volume: 119, pages: 461-470), Publisher: Springer Wien
- Status:
- Published
- DOI:
- 10.1007/s00013-022-01785-3 – link to the publication
-
On Consecutive 1's in Continued Fractions Expansions of Square Roots of Prime Numbers
- Authors:
- Piotr Miska, Maciej Ulas
- Academic press:
- Experimental Mathematics (year: 2019, volume: nie dotyczy, pages: 14 pp.), Publisher: Taylor & Francis Inc.
- Status:
- Published
- DOI:
- 10.1080/10586458.2019.1605319 – link to the publication
-
Characteristics of Distributions of Sets and Their (R)- and (N)-Denseness
- Authors:
- Piotr Miska, János T. Tóth
- Academic press:
- Results in Mathematics (year: 2023, volume: 78, pages: 33 pp.), Publisher: SPRINGER BASEL AG
- Status:
- Published
- DOI:
- 10.1007/s00025-022-01830-1 – link to the publication