Prosti brojevi oblika $x^2$+$ny^2$

Andrašek, Alen

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master's thesis

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Prosti brojevi oblika

$x^2$ +

$ny^2$

Zagreb: University of Zagreb, Faculty of Science, 2020. urn:nbn:hr:217:804311

Andrašek, Alen

University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

APA 6th Edition

Andrašek, A. (2020). Prosti brojevi oblika $x^2$ + $ny^2$ (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:804311

MLA 8th Edition

Andrašek, Alen. "Prosti brojevi oblika $x^2$ + $ny^2$ ." Master's thesis, University of Zagreb, Faculty of Science, 2020. https://urn.nsk.hr/urn:nbn:hr:217:804311

Chicago 17th Edition

Andrašek, Alen. "Prosti brojevi oblika $x^2$ + $ny^2$ ." Master's thesis, University of Zagreb, Faculty of Science, 2020. https://urn.nsk.hr/urn:nbn:hr:217:804311

Harvard

Andrašek, A. (2020). 'Prosti brojevi oblika $x^2$ + $ny^2$ ', Master's thesis, University of Zagreb, Faculty of Science, accessed 02 April 2025, https://urn.nsk.hr/urn:nbn:hr:217:804311

Vancouver

Andrašek A. Prosti brojevi oblika $x^2$ + $ny^2$ [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2020 [cited 2025 April 02] Available at: https://urn.nsk.hr/urn:nbn:hr:217:804311

IEEE

A. Andrašek, "Prosti brojevi oblika $x^2$ + $ny^2$ ", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2020. Available at: https://urn.nsk.hr/urn:nbn:hr:217:804311

Cite this item: https://urn.nsk.hr/urn:nbn:hr:217:804311

Metadata

Title	Prosti brojevi oblika $x^2$ + $ny^2$
Title (english)	Prime numbers with the form $x^2$ + $ny^2$
Author	Alen Andrašek
Mentor	Filip Najman (mentor)
Committee member	Filip Najman (predsjednik povjerenstva)
Committee member	Marko Tadić (član povjerenstva)
Committee member	Vedran Čačić (član povjerenstva)
Committee member	Nela Bosner (član povjerenstva)
Granter	University of Zagreb Faculty of Science (Department of Mathematics) Zagreb
Defense date and country	2020-12-01, Croatia
Scientific / art field, discipline and subdiscipline	NATURAL SCIENCES Mathematics
Abstract	U radu se promatra problem reprezentacije prostih brojeva formom $x^2$ + $ny^2$ . Nakon povijesnog uvoda koji upoznaje čitatelja s osnovama problema, prelazimo na tehnike apstraktne algebre, naročito teorije polja klasa te rješavamo problem u punoj općenitosti. Na kraju ilustriramo primjenu sa nekoliko računskih primjera.
Abstract (english)	In this work we treat the problem of representing prime numbers with the form $x^2$ + $ny^2$ . After the historical introduction which introduces the reader with the basics, we switch to abstract algebra techniques, especially class field theory, and manage to solve the problem in full generality. In the end, we illustrate the applications with a few computational examples.
Keywords
Keywords (english)
Language	croatian
URN:NBN	urn:nbn:hr:217:804311
Study programme	Title: Computer Science and Mathematics Study programme type: university Study level: graduate Academic / professional title: magistar/magistra računarstva i matematike (magistar/magistra računarstva i matematike)
Type of resource	Text
File origin	Born digital
Access conditions	Open access
Terms of use
Created on	2021-02-22 10:55:23

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