Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Arithmetic properties of special integer sequences, polynomials, and continued fractions

2019/34/E/ST1/00094

Keywords:

partition polynomials composition polynomials automatic sequences continued fractions prime numbers

Descriptors:

  • ST1_003:
  • ST1_014:

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):

dr hab. Maciej Ulas 

Number of co-investigators in the project: 5

Call: SONATA BIS 9 - announced on 2019-06-17

Amount awarded: 815 381 PLN

Project start date (Y-m-d): 2020-04-10

Project end date (Y-m-d): 2026-04-09

Project duration:: 72 months (the same as in the proposal)

Project status: Pending project

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.

Information in the final report

  • Publication in academic press/journals (82)
  • Articles in post-conference publications (1)
  1. A Fibonacci type sequence with Prouhet-Thue-Morse coefficients
    Authors:
    Eryk Lipka, Maciej Ulas
    Academic press:
    Journal of Difference Equations and Applications (rok: 2022, tom: 28 (5), strony: 695-715), Wydawca: Taylor and Francis
    Status:
    Published
    DOI:
    10.1080/10236198.2022.2065918 - link to the publication
  2. A note on the restricted partition function $p_\mathcal{A}(n,k)$
    Authors:
    Krystian Gajdzica
    Academic press:
    Discrete Mathematics (rok: 2022, tom: 345 (9), strony: 112943), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.disc.2022.112943 - link to the publication
  3. Representing generalized derangements as sums of three squares
    Authors:
    Maciej Ulas
    Academic press:
    Fibonacci Quarterly (rok: 2023, tom: 61(3), strony: 231-240), Wydawca: The Fibonacci Association
    Status:
    Published
  4. On two conjectures regarding generalized sequence of derangements
    Authors:
    Eryk Lipka, Florian Luca, Piotr Miska
    Academic press:
    Funct. Approx. Comment. Math. (rok: 2022, tom: 67 (2), strony: 223-234), Wydawca: Adam Mickiewicz University
    Status:
    Published
    DOI:
    10.7169/facm/1989 - link to the publication
  5. Divisibility and Arithmetic Properties of a Class of Sparse Polynomials
    Authors:
    Karl Dilcher, Maciej Ulas
    Academic press:
    INTEGERS (rok: 2022, tom: 22, strony: A8)
    Status:
    Published
    DOI:
    brak - link to the publication
  6. A Fibonacci type sequence with Prouhet-Thue-Morse coefficients
    Authors:
    Eryk Lipka, Maciej Ulas
    Academic press:
    Journal of Difference Equations and Applications (rok: 2022, tom: 28 (5), strony: 695-715), Wydawca: Taylor and Francis
    Status:
    Published
    DOI:
    10.1080/10236198.2022.2065918 - link to the publication
  7. Binomial Coefficients, Roots of Unity and Powers of Prime Numbers
    Authors:
    Piotr Miska
    Academic press:
    Bulletin of the Malaysian Mathematical Sciences Society (rok: 2022, tom: 45, strony: 1489 - 1506), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s40840-022-01266-4 - link to the publication
  8. Some Properties of a Class of Sparse Polynomials
    Authors:
    Karl Dilcher, Maciej Ulas
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2022, tom: 505 (1), strony: 125449), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2021.125449 - link to the publication
  9. On Frobenius problem with restrictions on common divisors of coefficients
    Authors:
    Piotr Miska, Maciej Zakarczemny
    Academic press:
    Ramanujan Journal (rok: 2022, tom: -, strony: -), Wydawca: -
    Status:
    Submitted
    DOI:
    link to the publication
  10. Binomial Coefficients, Roots of Unity and Powers of Prime Numbers
    Authors:
    Piotr Miska
    Academic press:
    Bulletin of the Malaysian Mathematical Sciences Society (rok: 2022, tom: 45, strony: 1489 - 1506), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s40840-022-01266-4 - link to the publication
  11. A note on the restricted partition function $p_\mathcal{A}(n,k)$
    Authors:
    Krystian Gajdzica
    Academic press:
    Discrete Matehamtics
    Status:
    Submitted
    DOI:
    link to the publication
  12. A Fibonacci type sequence with Prouhet-Thue-Morse coefficients
    Authors:
    Eryk Lipka, Maciej Ulas
    Academic press:
    Journal of Difference Equations and Applications , Wydawca: Taylor and Francis
    Status:
    Submitted
    DOI:
    link to the publication
  13. On two conjectures regarding generalized sequence of derangements
    Authors:
    Eryk Lipka, Florian Luca, Piotr Miska
    Academic press:
    Functiones et Approximatio Commentarii Mathematici
    Status:
    Submitted
  14. Some Properties of a Class of Sparse Polynomials
    Authors:
    Karl Dilcher, Maciej Ulas
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2022, tom: 505 (1), strony: 125449), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2021.125449 - link to the publication
  15. A note on the restricted partition function $p_\mathcal{A}(n,k)$
    Authors:
    Krystian Gajdzica
    Academic press:
    Discrete Matehamtics
    Status:
    Submitted
    DOI:
    link to the publication
  16. On Kakeya Conditions for Achievement Sets
    Authors:
    Jacek Marchwicki, Piotr Miska
    Academic press:
    Results in Mathematics (rok: 2021, tom: 76(4), strony: Article number: 181), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00025-021-01479-2 - link to the publication
  17. Signs behaviour of sums of weighted numbers of compositions
    Authors:
    Filip Gawron, Maciej Ulas
    Academic press:
    Ramanujan Journal (rok: 2025, tom: 66, strony: 32), Wydawca: Springer Nature
    Status:
    Published
    DOI:
    10.1007/s11139-024-01006-1 - link to the publication
  18. On the Bessenrodt–Ono type inequality for a wide class of A-partition functions
    Authors:
    Krystian Gajdzica
    Academic press:
    Ramanujan Journal (rok: 2025, tom: 66, strony: 80), Wydawca: Springer Nature
    Status:
    Published
    DOI:
    10.1007/s11139-025-01048-z - link to the publication
  19. The Turán and Laguerre inequalities for quasi-polynomial-like functions
    Authors:
    Krystian Gajdzica
    Academic press:
    Research in number theory (rok: 2024, tom: 10, strony: 46), Wydawca: Springer Nature
    Status:
    Published
    DOI:
    10.1007/s40993-024-00532-7 - link to the publication
  20. Restricted partition functions and the r-log-concavity of quasi-polynomial-like functions
    Authors:
    Krystian Gajdzica
    Academic press:
    Acta Arithmetica (rok: 2025, tom: 217 (1), strony: 67-94), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/aa231101-30-6 - link to the publication
  21. On $k$-regularity of sequences of valuations and last nonzero digits
    Authors:
    Bartosz Sobolewski
    Academic press:
    Ramanujan Journal (rok: 2023, tom: 61, strony: 1151-1195), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11139-023-00710-8 - link to the publication
  22. On Frobenius problem with restrictions on common divisors of coefficients
    Authors:
    Piotr Miska, Maciej Zakarczemny
    Academic press:
    Ramanujan Journal (rok: 2022, tom: -, strony: -), Wydawca: -
    Status:
    Submitted
    DOI:
    link to the publication
  23. Equal values of certain partition functions via Diophantine equations
    Authors:
    Szabolcs Tengely, Maciej Ulas
    Academic press:
    Research in Number Theory (rok: 2021, tom: 7, strony: Article Number: 67), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s40993-021-00293-7 - link to the publication
  24. Stirling numbers and periodic points
    Authors:
    Thomas Ward, Piotr Miska
    Academic press:
    Acta Arithmetica (rok: 2021, tom: 201, strony: 421-435), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/aa210309-9-8 - link to the publication
  25. On two conjectures regarding generalized sequence of derangements
    Authors:
    Eryk Lipka, Florian Luca, Piotr Miska
    Academic press:
    Funct. Approx. Comment. Math. (rok: 2022, tom: 67 (2), strony: 223-234), Wydawca: Adam Mickiewicz University
    Status:
    Published
    DOI:
    10.7169/facm/1989 - link to the publication
  26. Solutions of certain meta-Fibonacci recurrences
    Authors:
    Bartosz Sobolewski, Maciej Ulas
    Academic press:
    Acta Arithmetica (rok: 2023, tom: 209, strony: 269-289), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/aa220613-19-1 - link to the publication
  27. Values of binary partition function represented by a sum of three squares
    Authors:
    Bartosz Sobolewski, Maciej Ulas
    Academic press:
    Results in Mathematics (rok: 2023, tom: 78, strony: Article 188), Wydawca: SPringer
    Status:
    Published
    DOI:
    10.1007/s00025-023-01966-8 - link to the publication
  28. On continued fraction coefficients of square roots of primes
    Authors:
    Vitezeslav Kala, Piotr Miska
    Academic press:
    Journal of Number Theory (rok: 2022, tom: 253, strony: 215-234), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jnt.2023.06.013 - link to the publication
  29. Some observations and speculations on partitions into $d$-th powers
    Authors:
    Maciej Ulas
    Academic press:
    Bulletin of the Australian Mathematical Society (rok: 2021, tom: 104, strony: 406-414), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S0004972721000034 - link to the publication
  30. Diophantine problems related to cyclic cubic and quartic fields
    Authors:
    Szabolcs Tengely, Maciej Ulas
    Academic press:
    Journal of Number Theory (rok: 2022, tom: 240, strony: 656 - 684), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jnt.2022.01.003 - link to the publication
  31. Binomial coefficients, roots of unity and powers of prime numbers
    Authors:
    Piotr Miska
    Academic press:
    Bulletin of the Malaysian Mathematical Sciences Society , Wydawca: Springer
    Status:
    Accepted for publication
  32. A Fibonacci type sequence with Prouhet-Thue-Morse coefficients
    Authors:
    Eryk Lipka, Maciej Ulas
    Academic press:
    Journal of Difference Equations and Applications (rok: 2022, tom: 28 (5), strony: 695-715), Wydawca: Taylor and Francis
    Status:
    Published
    DOI:
    10.1080/10236198.2022.2065918 - link to the publication
  33. Representing generalized derangements as sums of three squares
    Authors:
    Maciej Ulas
    Academic press:
    Fibonacci Quarterly (rok: 2022, tom: -, strony: 9), Wydawca: The Fibonacci Association
    Status:
    Accepted for publication
  34. A note on the restricted partition function $p_\mathcal{A}(n,k)$
    Authors:
    Krystian Gajdzica
    Academic press:
    Discrete Mathematics (rok: 2022, tom: 345 (9), strony: 112943), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.disc.2022.112943 - link to the publication
  35. Binomial Coefficients, Roots of Unity and Powers of Prime Numbers
    Authors:
    Piotr Miska
    Academic press:
    Bulletin of the Malaysian Mathematical Sciences Society (rok: 2022, tom: 45, strony: 1489 - 1506), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s40840-022-01266-4 - link to the publication
  36. More on Kakeya-like conditions
    Authors:
    Piotr Miska, Franciszek Prus-Wiśniowski, Jolanta Ptak
    Academic press:
    Results in Mathematics (rok: 2023, tom: 78, strony: 113), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00025-023-01890-x - link to the publication
  37. Diophantine problems related to cyclic cubic and quartic fields
    Authors:
    Szabolcs Tengely, Maciej Ulas
    Academic press:
    Journal of Number Theory (rok: 2022, tom: 240, strony: 656 - 684), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jnt.2022.01.003 - link to the publication
  38. On Kakeya Conditions for Achievement Sets
    Authors:
    Jacek Marchwicki, Piotr Miska
    Academic press:
    Results in Mathematics (rok: 2021, tom: 76(4), strony: Article number: 181), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00025-021-01479-2 - link to the publication
  39. More on Kakeya-like conditions
    Authors:
    Piotr Miska, Franciszek Prus-Wiśniowski, Jolanta Ptak
    Academic press:
    Results in Mathematics (rok: 2023, tom: 78, strony: 113), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00025-023-01890-x - link to the publication
  40. On $k$-regularity of sequences of valuations and last nonzero digits
    Authors:
    Bartosz Sobolewski
    Academic press:
    Ramanujan Journal (rok: 2023, tom: 61, strony: 1151-1195), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11139-023-00710-8 - link to the publication
  41. Unususal class of polynomials related to partitions
    Authors:
    Błażej Żmija
    Academic press:
    Ramanujan Journal (rok: 2023, tom: 62, strony: 1069–1080), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11139-023-00739-9 - link to the publication
  42. Log-concavity of the restricted partition function $p_\mathcal{A}(n,k)$ and the new Bessenrodt-Ono type inequality
    Authors:
    Krystian Gajdzica
    Academic press:
    Journal of number theory (rok: 2022, tom: -, strony: -), Wydawca: -
    Status:
    Submitted
    DOI:
    link to the publication
  43. Solutions of certain meta-Fibonacci recurrences
    Authors:
    Bartosz Sobolewski, Maciej Ulas
    Academic press:
    Acta Arithmetica (rok: 2022, tom: -, strony: 21), Wydawca: Instytut Matematyczny PAN
    Status:
    Accepted for publication
    DOI:
    10.4064/aa220613-19-1 - link to the publication
  44. On Kakeya Conditions for Achievement Sets
    Authors:
    Jacek Marchwicki, Piotr Miska
    Academic press:
    Results in Mathematics (rok: 2021, tom: 76(4), strony: Article number: 181), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00025-021-01479-2 - link to the publication
  45. Some Properties of a Class of Sparse Polynomials
    Authors:
    Karl Dilcher, Maciej Ulas
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2022, tom: 505 (1), strony: 125449), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2021.125449 - link to the publication
  46. Divisibility and Arithmetic Properties of a Class of Sparse Polynomials
    Authors:
    Karl Dilcher, Maciej Ulas
    Academic press:
    INTEGERS (rok: 2022, tom: 22, strony: A8)
    Status:
    Published
    DOI:
    brak - link to the publication
  47. On Frobenius problem with restrictions on common divisors of coefficients
    Authors:
    Piotr Miska, Maciej Zakarczemny
    Academic press:
    Ramanujan Journal (rok: 2022, tom: -, strony: -), Wydawca: -
    Status:
    Submitted
    DOI:
    link to the publication
  48. Unususal class of polynomials related to partitions
    Authors:
    Błażej Żmija
    Academic press:
    Ramanujan Journal (rok: 2022, tom: -, strony: -), Wydawca: Springer
    Status:
    Submitted
  49. Equal values of certain partition functions via Diophantine equations
    Authors:
    Szabolcs Tengely, Maciej Ulas
    Academic press:
    Research in Number Theory (rok: 2021, tom: 7, strony: Article Number: 67), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s40993-021-00293-7 - link to the publication
  50. Binomial coefficients, roots of unity and powers of prime numbers
    Authors:
    Piotr Miska
    Academic press:
    Bulletin of the Malaysian Mathematical Sciences Society , Wydawca: Springer
    Status:
    Accepted for publication
  51. Solutions of certain meta-Fibonacci recurrences
    Authors:
    Bartosz Sobolewski, Maciej Ulas
    Academic press:
    Acta Arithmetica (rok: 2023, tom: 209, strony: 269-289), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/aa220613-19-1 - link to the publication
  52. On continued fraction coefficients of square roots of primes
    Authors:
    Vitezeslav Kala, Piotr Miska
    Academic press:
    Journal of Number Theory (rok: 2022, tom: 253, strony: 215-234), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jnt.2023.06.013 - link to the publication
  53. Some Properties of a Class of Sparse Polynomials
    Authors:
    Karl Dilcher, Maciej Ulas
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2022, tom: 505 (1), strony: 125449), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2021.125449 - link to the publication
  54. Stirling numbers and periodic points
    Authors:
    Thomas Ward, Piotr Miska
    Academic press:
    Acta Arithmetica (rok: 2021, tom: 201, strony: 421-435), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/aa210309-9-8 - link to the publication
  55. Signs behaviour of sums of weighted numbers of partitions
    Authors:
    Filip Gawron, Maciej Ulas
    Academic press:
    Ramanujan Journal (rok: 2023, tom: 60, strony: 571–584), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11139-022-00602-3 - link to the publication
  56. Unususal class of polynomials related to partitions
    Authors:
    Błażej Żmija
    Academic press:
    Ramanujan Journal (rok: 2023, tom: 62, strony: 1069–1080), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11139-023-00739-9 - link to the publication
  57. A note on the restricted partition function $p_\mathcal{A}(n,k)$
    Authors:
    Krystian Gajdzica
    Academic press:
    Discrete Mathematics (rok: 2022, tom: 345 (9), strony: 112943), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.disc.2022.112943 - link to the publication
  58. Representing generalized derangements as sums of three squares
    Authors:
    Maciej Ulas
    Academic press:
    Fibonacci Quarterly (rok: 2023, tom: 61(3), strony: 231-240), Wydawca: The Fibonacci Association
    Status:
    Published
  59. Signs behaviour of sums of weighted numbers of partitions
    Authors:
    Filip Gawron, Maciej Ulas
    Academic press:
    Ramanujan Journal (rok: 2023, tom: 60, strony: 571–584), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11139-022-00602-3 - link to the publication
  60. Equal values of certain partition functions via Diophantine equations
    Authors:
    Szabolcs Tengely, Maciej Ulas
    Academic press:
    Research in Number Theory (rok: 2021, tom: 7, strony: Article Number: 67), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s40993-021-00293-7 - link to the publication
  61. Diophantine problems related to cyclic cubic and quartic fields
    Authors:
    Szabolcs Tengely, Maciej Ulas
    Academic press:
    Journal of Number Theory (rok: 2022, tom: 240, strony: 656 - 684), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jnt.2022.01.003 - link to the publication
  62. Some observations and speculations on partitions into $d$-th powers
    Authors:
    Maciej Ulas
    Academic press:
    Bulletin of the Australian Mathematical Society (rok: 2021, tom: 104, strony: 406-414), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S0004972721000034 - link to the publication
  63. Signs behaviour of sums of weighted numbers of partitions
    Authors:
    Filip Gawron, Maciej Ulas
    Academic press:
    Ramanujan Journal (rok: 2022, tom: -, strony: -), Wydawca: -
    Status:
    Accepted for publication
  64. On continued fraction coefficients of square roots of primes
    Authors:
    Vitezeslav Kala, Piotr Miska
    Academic press:
    Experimental Mathematics (rok: 2022, tom: -, strony: -), Wydawca: -
    Status:
    Submitted
    DOI:
    link to the publication
  65. On two conjectures regarding generalized sequence of derangements
    Authors:
    Eryk Lipka, Florian Luca, Piotr Miska
    Academic press:
    Funct. Approx. Comment. Math. (rok: 2022, tom: 67 (2), strony: 223-234), Wydawca: Adam Mickiewicz University
    Status:
    Published
    DOI:
    10.7169/facm/1989 - link to the publication
  66. A Fibonacci type sequence with Prouhet-Thue-Morse coefficients
    Authors:
    Eryk Lipka, Maciej Ulas
    Academic press:
    Journal of Difference Equations and Applications , Wydawca: Taylor and Francis
    Status:
    Submitted
    DOI:
    link to the publication
  67. Some observations and speculations on partitions into $d$-th powers
    Authors:
    Maciej Ulas
    Academic press:
    Bulletin of the Australian Mathematical Society (rok: 2021, tom: 104, strony: 406-414), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S0004972721000034 - link to the publication
  68. Log-concavity of the restricted partition function $p_\mathcal{A}(n,k)$ and the new Bessenrodt-Ono type inequality
    Authors:
    Krystian Gajdzica
    Academic press:
    Journal of number theory (rok: 2023, tom: 251, strony: 31-65), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jnt.2023.04.001 - link to the publication
  69. Geometric progressions in the sets of values of rational functions
    Authors:
    Maciej Ulas
    Academic press:
    Indagationes Mathematicae (rok: 2024, tom: 35 (4), strony: 622-637), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.indag.2023.08.005 - link to the publication
  70. Values of binary partition function represented by a sum of three squares
    Authors:
    Bartosz Sobolewski, Maciej Ulas
    Academic press:
    Results in Mathematics (rok: 2023, tom: 78, strony: Article 188), Wydawca: SPringer
    Status:
    Published
    DOI:
    10.1007/s00025-023-01966-8 - link to the publication
  71. Some observations and speculations on partitions into $d$-th powers
    Authors:
    Maciej Ulas
    Academic press:
    Bulletin of the Australian Mathematical Society (rok: 2021, tom: 104, strony: 406-414), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S0004972721000034 - link to the publication
  72. Log-concavity of the restricted partition function $p_\mathcal{A}(n,k)$ and the new Bessenrodt-Ono type inequality
    Authors:
    Krystian Gajdzica
    Academic press:
    Journal of number theory (rok: 2023, tom: 251, strony: 31-65), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jnt.2023.04.001 - link to the publication
  73. Divisibility and Arithmetic Properties of a Class of Sparse Polynomials
    Authors:
    Karl Dilcher, Maciej Ulas
    Academic press:
    INTEGERS (rok: 2022, tom: 22, strony: A8)
    Status:
    Published
    DOI:
    brak - link to the publication
  74. On Kakeya Conditions for Achievement Sets
    Authors:
    Jacek Marchwicki, Piotr Miska
    Academic press:
    Results in Mathematics (rok: 2021, tom: 76(4), strony: Article number: 181), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00025-021-01479-2 - link to the publication
  75. Values of binary partition function represented by a sum of three squares
    Authors:
    Bartosz Sobolewski, Maciej Ulas
    Academic press:
    Transactions of the American Mathematical Society (rok: 2022, tom: -, strony: -), Wydawca: -
    Status:
    Submitted
  76. On two conjectures regarding generalized sequence of derangements
    Authors:
    Eryk Lipka, Florian Luca, Piotr Miska
    Academic press:
    Functiones et Approximatio Commentarii Mathematici
    Status:
    Submitted
  77. On $k$-regularity of sequences of valuations and last nonzero digits
    Authors:
    Bartosz Sobolewski
    Academic press:
    Ramanujan Journal (rok: 2022, tom: -, strony: -), Wydawca: Springer
    Status:
    Accepted for publication
  78. Equal values of certain partition functions via Diophantine equations
    Authors:
    Szabolcs Tengely, Maciej Ulas
    Academic press:
    Research in Number Theory (rok: 2021, tom: 7, strony: Article Number: 67), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s40993-021-00293-7 - link to the publication
  79. On the Diophantine equation \sigma_{2}(\overline{X}_{n})=\sigma_{n}(\overline{X}_{n})
    Authors:
    Piotr Miska, Maciej Ulas
    Academic press:
    International Journal of Number Theory (rok: 2022, tom: -, strony: -), Wydawca: World Scientific
    Status:
    Submitted
  80. Stirling numbers and periodic points
    Authors:
    Thomas Ward, Piotr Miska
    Academic press:
    Acta Arithmetica (rok: 2021, tom: 201, strony: 421-435), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/aa210309-9-8 - link to the publication
  81. Stirling numbers and periodic points
    Authors:
    Thomas Ward, Piotr Miska
    Academic press:
    Acta Arithmetica (rok: 2021, tom: 201, strony: 421-435), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/aa210309-9-8 - link to the publication
  82. Divisibility and Arithmetic Properties of a Class of Sparse Polynomials
    Authors:
    Karl Dilcher, Maciej Ulas
    Academic press:
    INTEGERS (rok: 2022, tom: 22, strony: A8)
    Status:
    Published
    DOI:
    brak - link to the publication
  1. Geometric Progressions in the Sets of Values of Reducible Cubic Forms
    Authors:
    Bartłomiej Głowacki, Maciej Ulas
    Conference:
    Combinatorial and Additive Number Theory VI (rok: 2025, tom: Combinatorial and Additive Number Theory, 2023, strony: 205-219), Wydawca: Springer
    Data:
    konferencja 23-25 maja 2023
    Status:
    Published
    DOI:
    10.1007/978-3-031-65064-2_9 - link to the publication

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