Multiplikativne funkcije

Vuletić, Ivana

master's thesis

Multiplikativne funkcije

Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. urn:nbn:hr:126:321531

Vuletić, Ivana

Josip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics

Institutional repository: Repository of School of Applied Mathematics and Informatics

Cite this document

APA 6th Edition

Vuletić, I. (2024). Multiplikativne funkcije (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:321531

MLA 8th Edition

Vuletić, Ivana. "Multiplikativne funkcije." Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:321531

Chicago 17th Edition

Harvard

Vuletić, I. (2024). 'Multiplikativne funkcije', Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, accessed 17 November 2024, https://urn.nsk.hr/urn:nbn:hr:126:321531

Vancouver

Vuletić I. Multiplikativne funkcije [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics; 2024 [cited 2024 November 17] Available at: https://urn.nsk.hr/urn:nbn:hr:126:321531

IEEE

I. Vuletić, "Multiplikativne funkcije", Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, Osijek, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:126:321531

Cite this item: https://urn.nsk.hr/urn:nbn:hr:126:321531

Metadata

Title	Multiplikativne funkcije
Title (english)	Multiplicative Functions
Author	Ivana Vuletić
Mentor	Ivan Matić (mentor)
Committee member	Suzana Miodragović (predsjednik povjerenstva)
Committee member	Ivan Matić (član povjerenstva)
Committee member	Ivan Soldo (član povjerenstva)
Granter	Josip Juraj Strossmayer University of Osijek School of Applied Mathematics and Informatics Osijek
Defense date and country	2024-09-30, Croatia
Scientific / art field, discipline and subdiscipline	NATURAL SCIENCES Mathematics Other Mathematical Disciplines
Abstract	Tema ovog diplomskog rada jest sferna zakrivljenost krivulje. Središte, odnosno polumjer sferne zakrivljenosti definira se kao središte, odnosno polumjer oskulacijske sfere. U radu je proučavan lokus sferne zakrivljenosti krivulje, te su definirane veze između Freneteovih bridova lokusa i polazne krivulje. Specijalna pažnja posvećena je involutama i evolutama krivulje. Rad je potkrijepljen primjerima, čiji su grafički prikazi izrađeni su pomoću GeoGebre.
Abstract (english)	This paper examines multiplicative functions in number theory and their properties, and is structured into five chapters. The fundamental concepts of number theory are defined at the start of the paper. Next, the definition of a multiplicative function is introduced, and it is shown that Euler’s function, the sum of divisors function, and the number of divisors function are examples of a multiplicative function. For each of the mentioned functions, an explicit formula is provided. Lastly, the Mobius function is introduced, which is related to the Möbius inversion formula. An example of the Mobius inversion formula is shown for the number of divisors function and the sum of divisors function. Additionaly, one more formula for Euler’s function is derived using the Möbius inversion formula.
Keywords
Keywords (english)
Language	croatian
URN:NBN	urn:nbn:hr:126:321531
Study programme	Title: Mathematics; specializations in: Financial and Statistical Mathematics, Mathematics and Computer Science, Industrial and Applied Mathematics Course: Financial and Statistical Mathematics Study programme type: university Study level: graduate Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resource	Text
File origin	Born digital
Access conditions	Open access
Terms of use
Created on	2024-10-25 09:28:01

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