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http://hdl.handle.net/11320/17756Pełny rekord metadanych
| Pole DC | Wartość | Język |
|---|---|---|
| dc.contributor.author | Pąk, Karol | - |
| dc.contributor.author | Korniłowicz, Artur | - |
| dc.date.accessioned | 2024-12-17T10:38:33Z | - |
| dc.date.available | 2024-12-17T10:38:33Z | - |
| dc.date.issued | 2024 | - |
| dc.identifier.citation | Formalized Mathematics, Volume 32, Issue 1, Pages 93–110 | pl |
| dc.identifier.issn | 1426-2630 | - |
| dc.identifier.uri | http://hdl.handle.net/11320/17756 | - |
| dc.description.abstract | This paper formalizes problems 38, 58, 160, 164, 168, 171, 188, 195, 196, and 198 from “250 Problems in Elementary Number Theory” by Wacław Sierpiński. | pl |
| dc.language.iso | en | pl |
| dc.publisher | DeGruyter Open | pl |
| dc.rights | Attribution-ShareAlike 3.0 Unported (CC BY-SA 3.0) | pl |
| dc.rights.uri | https://creativecommons.org/licenses/by-sa/3.0/ | pl |
| dc.subject | number theory | pl |
| dc.subject | prime number | pl |
| dc.subject | Diophantine equation | pl |
| dc.title | Elementary Number Theory Problems. Part XV – Diophantine Equations | pl |
| dc.type | Article | pl |
| dc.rights.holder | © 2024 The Author(s) | pl |
| dc.rights.holder | CC BY-SA 3.0 license | pl |
| dc.identifier.doi | 10.2478/forma-2024-0007 | - |
| dc.description.Affiliation | Karol Pąk - Faculty of Computer Science, University of Białystok, Poland | pl |
| dc.description.Affiliation | Artur Korniłowicz - Faculty of Computer Science, University of Białystok, Poland | pl |
| dc.description.references | Grzegorz Bancerek, Czesław Byliński, 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. | pl |
| dc.description.references | Grzegorz Bancerek, Czesław Byliński, 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. | pl |
| dc.description.references | Wenpai Chang, Hiroshi Yamazaki, and Yatsuka Nakamura. The inner product and con jugate of finite sequences of complex numbers. Formalized Mathematics, 13(3):367–373, 2005. | pl |
| dc.description.references | Leonard Eugene Dickson. History of Theory of Numbers, Volume II; Diophantine Analysis. Carnegie Institution, 1920. | pl |
| dc.description.references | Adam Grabowski. Elementary number theory problems. Part VI. Formalized Mathematics, 30(3):235–244, 2022. doi:10.2478/forma-2022-0019. | pl |
| dc.description.references | Artur Korniłowicz and Adam Naumowicz. Elementary number theory problems. Part V. Formalized Mathematics, 30(3):229–234, 2022. doi:10.2478/forma-2022-0018. | pl |
| dc.description.references | Alfred Moessner. General formulae for constructing and solving certain simultaneous equations. The Mathematics Student, 3, 1936. | pl |
| dc.description.references | Louis J. Mordell. Diophantine Equations. Academic Press, 1969. | pl |
| dc.description.references | Adam Naumowicz. Elementary number theory problems. Part I. Formalized Mathematics, 28(1):115–120, 2020. doi:10.2478/forma-2020-0010. | pl |
| dc.description.references | Adam Naumowicz. Dataset description: Formalization of elementary number theory in Mizar. In Christoph Benzmuller 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. | pl |
| dc.description.references | Andrzej Schinzel. D´emonstration d’une cons´equence de l’hypoth`ese de Goldbach. Compositio Mathematica, 14:74–76, 1959. | pl |
| dc.description.references | Wacław Sierpiński. Elementary Theory of Numbers. PWN, Warsaw, 1964. | pl |
| dc.description.references | Wacław Sierpiński. 250 Problems in Elementary Number Theory. Elsevier, 1970. | pl |
| dc.description.references | Wacław Sierpiński. Sur les d´ecompositions de nombres rationells en fractions primaires. Mathesis, 65:16–32, 1956. | pl |
| dc.description.references | Rafał Ziobro. Prime factorization of sums and differences of two like powers. Formalized Mathematics, 24(3):187–198, 2016. doi:10.1515/forma-2016-0015. | pl |
| dc.identifier.eissn | 1898-9934 | - |
| dc.description.volume | 32 | pl |
| dc.description.issue | 1 | pl |
| dc.description.firstpage | 93 | pl |
| dc.description.lastpage | 110 | pl |
| dc.identifier.citation2 | Formalized Mathematics | pl |
| dc.identifier.orcid | 0000-0002-7099-1669 | - |
| dc.identifier.orcid | 0000-0002-4565-9082 | - |
| Występuje w kolekcji(ach): | Artykuły naukowe (WInf) Formalized Mathematics, 2024, Volume 32, Issue 1 | |
Pliki w tej pozycji:
| Plik | Opis | Rozmiar | Format | |
|---|---|---|---|---|
| Elementary-Number-Theory-Problems-Part-XV-Diophantine-Equations.pdf | 334,23 kB | Adobe PDF | Otwórz |
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