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master's thesis
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Problems with arithmetic functions in mathematical competitions
Sanja Strpić (2017)
University of Split
University of Split, Faculty of science
Department of Mathematics
Metadata
TitleProblemi s aritmetičkim funkcijama na matematičkim natjecanjima
AuthorSanja Strpić
Mentor(s)Borka Jadrijević (thesis advisor)
Abstract
Ovaj diplomski rad bavi se aritmetičkim funkcijama. Rad je podijeljen u sedam poglavlja. U svakom poglavlju najprije su dane neke osnovne definicije i tvrdnje te jednostavniji primjeri vezani za temu kojom se poglavlje bavi, dok je naglasak stavljen na rješavanje izabranih problema s olimpijada i drugih važnih matematičkih natjecanja koristeći teoretske osnove dane na početku poglavlja.
Keywordsmultiplicative functions Mobius function number of divisors sum of divisors perfect numbers Euler’s totient function exponent of a prime
Parallel title (English)Problems with arithmetic functions in mathematical competitions
Committee MembersBorka Jadrijević (committee chairperson)
Marko Matić (committee member)
Marija Bliznac Trebješanin (committee member)
GranterUniversity of Split
University of Split, Faculty of science
Lower level organizational unitsDepartment of Mathematics
PlaceSplit
StateCroatia
Scientific field, discipline, subdisciplineNATURAL SCIENCES
Mathematics
Study programme typeuniversity
Study levelgraduate
Study programmeMathematics; specializations in: major in pure mathematics, major in computing, major in teaching
Study specializationmajor in teaching
Academic title abbreviationmag. math.
Genremaster's thesis
Language Croatian
Defense date2017-09-25
Parallel abstract (English)
This master’s thesis deals with arithmetic functions. The thesis is divided into seven chapters. In each chapter we first give some basic definiti ons, statements and simple examples related to the topic of the chapter, while the emphasis is placed on solving mathematical problems from the Olympiad and other important mathematical competitions using the theoretical bases given at the beginning of the chapter.
Parallel keywords (Croatian)multiplikativne funkcije Mobiusova funkcija broj djelitelja suma djelitelja savršeni brojevi Eulerova funkcija eksponent prostog broja
Resource typetext
Access conditionAccess restricted to students and staff of home institution
Terms of usehttp://rightsstatements.org/vocab/InC/1.0/
URN:NBNhttps://urn.nsk.hr/urn:nbn:hr:166:503696