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

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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

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

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

Vuletić, I. (2024). 'Multiplikativne funkcije', Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, accessed 10 November 2024, https://urn.nsk.hr/urn:nbn:hr:126:321531

Vuletić I. Multiplikativne funkcije [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics; 2024 [cited 2024 November 10] Available at: https://urn.nsk.hr/urn:nbn:hr:126:321531

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

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Metadata
TitleMultiplikativne funkcije
Title (english)Multiplicative Functions
AuthorIvana Vuletić
MentorIvan Matić (mentor)
Committee memberSuzana Miodragović (predsjednik povjerenstva)
Committee memberIvan Matić (član povjerenstva)
Committee memberIvan Soldo (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics
Osijek
Defense date and country2024-09-30, 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)
Languagecroatian
URN:NBNurn:nbn:hr:126:321531
Study programmeTitle: 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 resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2024-10-25 09:28:01