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Some Arithmetic Functions
Doris Bencetić (2017)
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics
Algebra and Calculus Research Group
Cite this document

Bencetić, D. (2017). Neke aritmetičke funkcije (Undergraduate thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:032193

Bencetić, Doris. "Neke aritmetičke funkcije." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:032193

Bencetić, Doris. "Neke aritmetičke funkcije." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:032193

Bencetić, D. (2017). 'Neke aritmetičke funkcije', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 15 November 2019, https://urn.nsk.hr/urn:nbn:hr:126:032193

Bencetić D. Neke aritmetičke funkcije [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2017 [cited 2019 November 15] Available at: https://urn.nsk.hr/urn:nbn:hr:126:032193

D. Bencetić, "Neke aritmetičke funkcije", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:126:032193

Metadata
TitleNeke aritmetičke funkcije
Title (english)Some Arithmetic Functions
AuthorDoris Bencetić
MentorIvan Soldo (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics)
(Algebra and Calculus Research Group)
Osijek
Defense date and country2017-09-29, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
Abstract
U ovome radu pročitćemo aritmetčke funkcije broj i suma djelitelja te Eulerovu funkciju. Upoznat ćemo se s njihovim osnovnim svojstvima, objasniti kako se računa vrijednost pojedine funkcije za bilo koji prirodan broj n te sve upotpuniti odgovarajućim primjerima. Također, iskazat ćemo i dokazati Eulerov teorem koji je usko vezan uz Eulerovu funkciju, a ima primjene u mnogim područjima teorije brojeva i kriptograje.
Abstract (english)
In this paper, we will consider some arithmetic functions such as sum and number of divisors of positive integer and Euler's function. We will talk about their basic properties, explain how to calculate their value for any positive integern and illustrate all of that with suitable examples. Moreover, we will state and prove the Euler's theorem whose constituent part is Euler's function. It has lots of applications in many areas of number theory and cryptography.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:032193
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 on2017-11-10 09:42:10