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undergraduate thesis
Kongruentni brojevi
2019. urn:nbn:hr:126:631095
Rajkovača, Monika
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics and Mathematics Teaching
Algebra, Analysis and Number Theory Research Group

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Rajkovača, M. (2019). Kongruentni brojevi (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:631095

Rajkovača, Monika. "Kongruentni brojevi." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:631095

Rajkovača, Monika. "Kongruentni brojevi." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:631095

Rajkovača, M. (2019). 'Kongruentni brojevi', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 21 March 2025, https://urn.nsk.hr/urn:nbn:hr:126:631095

Rajkovača M. Kongruentni brojevi [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2019 [cited 2025 March 21] Available at: https://urn.nsk.hr/urn:nbn:hr:126:631095

M. Rajkovača, "Kongruentni brojevi", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:126:631095

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Metadata
TitleKongruentni brojevi
Title (english)Congruent Numbers
AuthorMonika Rajkovača
MentorMirela Jukić Bokun (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics and Mathematics Teaching)
(Algebra, Analysis and Number Theory Research Group)
Osijek
Defense date and country2019-09-27, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
Abstract
U ovom radu bavit ćemo se problemom kongruentnih brojeva te ćemo primijeniti Pitagorine trojke u dokazivanju tvrdnje da 1 nije kongruentan broj. Pokazat ćemo povezanost ovog problema s aritmetičkom progresijom tri kvadrata i eliptičkim krivuljama. Osim toga, navest ćemo Tunnellov teorem i još neke testove kongruentnosti. Na kraju ćemo dati neka poopćenja ovog problema.
Abstract (english)
In this bachelor’s thesis we are going to deal with congruent number problem and we are going to use Pythagorean triples in proving that 1 is not congruent number. We are going to show connection between this problem and arithmetic progression of three squares and elliptic curves. Furthermore, we are going to mention Tunnell’s theorem and some other congruency tests. In the end, we are going to generalize this problem.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:631095
Study programmeTitle: University undergraduate study programme in mathematics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-10-01 06:27:48