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Congruent Numbers
Monika Rajkovača (2019)
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics
Algebra and Calculus Research Group
Cite this document

Rajkovača, M. (2019). Kongruentni brojevi (Undergraduate thesis). 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 13 October 2019, 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 2019 October 13] 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

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)
(Algebra and Calculus 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 usehttp://rightsstatements.org/vocab/InC/1.0/
Created on2019-10-01 06:27:48