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Elementary Number Theory Problems. Part IV Cover

Elementary Number Theory Problems. Part IV

Open Access
|Dec 2022

References

  1. [1] Kenichi Arai and Hiroyuki Okazaki. Properties of primes and multiplicative group of a field. Formalized Mathematics, 17(2):151–155, 2009. doi:10.2478/v10037-009-0017-7.
  2. [2] Grzegorz Bancerek, Czesław Bylinacute;ski, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, Karol Pąk, and Josef Urban. Mizar: State-of-the-art and beyond. In Manfred Kerber, Jacques Carette, Cezary Kaliszyk, Florian Rabe, and Volker Sorge, editors, Intelligent Computer Mathematics, volume 9150 of Lecture Notes in Computer Science, pages 261–279. Springer International Publishing, 2015. ISBN 978-3-319-20614-1. doi:10.1007/978-3-319-20615-8 17.
  3. [3] Grzegorz Bancerek, Czesław Bylinacute;ski, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, and Karol Pąk. The role of the Mizar Mathematical Library for interactive proof development in Mizar. Journal of Automated Reasoning, 61(1):9–32, 2018. doi:10.1007/s10817-017-9440-6.604425130069070
  4. [4] Yoshinori Fujisawa and Yasushi Fuwa. Definitions of radix-2k signed-digit number and its adder algorithm. Formalized Mathematics, 9(1):71–75, 2001.
  5. [5] Yoshinori Fujisawa, Yasushi Fuwa, and Hidetaka Shimizu. Public-key cryptography and Pepin’s test for the primality of Fermat numbers. Formalized Mathematics, 7(2):317–321, 1998.
  6. [6] Artur Korniłowicz. Flexary connectives in Mizar. Computer Languages, Systems & Structures, 44:238–250, December 2015. doi:10.1016/j.cl.2015.07.002.
  7. [7] Xiquan Liang, Li Yan, and Junjie Zhao. Linear congruence relation and complete residue systems. Formalized Mathematics, 15(4):181–187, 2007. doi:10.2478/v10037-007-0022-7.
  8. [8] Adam Naumowicz. Dataset description: Formalization of elementary number theory in Mizar. In Christoph Benzmüller and Bruce R. Miller, editors, Intelligent Computer Mathematics – 13th International Conference, CICM 2020, Bertinoro, Italy, July 26–31, 2020, Proceedings, volume 12236 of Lecture Notes in Computer Science, pages 303–308. Springer, 2020. doi:10.1007/978-3-030-53518-6_22.
  9. [9] Wacław Sierpiński. 250 Problems in Elementary Number Theory. Elsevier, 1970.
DOI: https://doi.org/10.2478/forma-2022-0017 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Language: English
Page range: 223 - 228
Accepted on: Sep 30, 2022
Published on: Dec 30, 2022
Published by: University of Białystok
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2022 Artur Korniłowicz, published by University of Białystok
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