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Euler's Totient Function
Andrea Behin (2016)
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics
Algebra and Calculus Research Group
Cite this document...

Behin, A. (2016). Eulerova funkcija (Undergraduate thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:427716

Behin, Andrea. "Eulerova funkcija." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2016. https://urn.nsk.hr/urn:nbn:hr:126:427716

Behin, Andrea. "Eulerova funkcija." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2016. https://urn.nsk.hr/urn:nbn:hr:126:427716

Behin, A. (2016). 'Eulerova funkcija', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 20 February 2019, https://urn.nsk.hr/urn:nbn:hr:126:427716

Behin A. Eulerova funkcija [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2016 [cited 2019 February 20] Available at: https://urn.nsk.hr/urn:nbn:hr:126:427716

A. Behin, "Eulerova funkcija", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:126:427716

Metadata
TitleEulerova funkcija
AuthorAndrea Behin
Mentor(s)Mirela Jukić Bokun (thesis advisor)
Abstract
U ovom radu obradit ćemo Eulerovu funkciju i ukratko nešto reći o L. Euleru, matematičaru po kojemu je ta funkcija dobila ime. Definirat ćemo što je ta funkcija, navesti osnovna svojstva i neke ocjene te na primjerima pokazati kako se računa vrijednost te funkcije. Nadalje, navest ćemo primjene Eulerove funkcije i probleme usko vezane uz nju. Dokazat ćemo Eulerov teorem te također navesti njegove primjene.
Keywordscongruence residue system Euler’s totient function or Euler’s phi function multiplicative function Euler’s theorem Fermat’s Little theorem
Parallel title (English)Euler's Totient Function
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
Lower level organizational unitsChair of Pure Mathematics
Algebra and Calculus Research Group
PlaceOsijek
StateCroatia
Scientific field, discipline, subdisciplineNATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
Study programme typeuniversity
Study levelundergraduate
Study programmeUniversity undergraduate study programme in mathematics
Academic title abbreviationuniv.bacc.math.
Genreundergraduate thesis
Language Croatian
Defense date2016-09-27
Parallel abstract (English)
In this article we will cover the Euler’s totient function and briefly focus on L. Euler, a mathematician after whom this function is named. We will define this function, specify the basic properties and some bounds, and give some examples that show how to calculate the value of this function. Furthermore, we will list the applications and problems closely related to. We will prove Euler’s theorem and also indicate its application.
Parallel keywords (Croatian)kongruencije reducirani sustav ostataka Eulerova funkcija multiplikativna funkcija Eulerov teorem Mali Fermatov teorem
Resource typetext
Access conditionOpen access
Terms of usehttp://rightsstatements.org/vocab/InC/1.0/
URN:NBNhttps://urn.nsk.hr/urn:nbn:hr:126:427716