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master's thesis
Funkcije povezane s distribucijom prostih brojeva
2022. urn:nbn:hr:196:463757
Leoni, Danijel
University of Rijeka
Faculty of Mathematics

Cite this document

Leoni, D. (2022). Funkcije povezane s distribucijom prostih brojeva (Master's thesis). Rijeka: University of Rijeka. Retrieved from https://urn.nsk.hr/urn:nbn:hr:196:463757

Leoni, Danijel. "Funkcije povezane s distribucijom prostih brojeva." Master's thesis, University of Rijeka, 2022. https://urn.nsk.hr/urn:nbn:hr:196:463757

Leoni, Danijel. "Funkcije povezane s distribucijom prostih brojeva." Master's thesis, University of Rijeka, 2022. https://urn.nsk.hr/urn:nbn:hr:196:463757

Leoni, D. (2022). 'Funkcije povezane s distribucijom prostih brojeva', Master's thesis, University of Rijeka, accessed 22 February 2025, https://urn.nsk.hr/urn:nbn:hr:196:463757

Leoni D. Funkcije povezane s distribucijom prostih brojeva [Master's thesis]. Rijeka: University of Rijeka; 2022 [cited 2025 February 22] Available at: https://urn.nsk.hr/urn:nbn:hr:196:463757

D. Leoni, "Funkcije povezane s distribucijom prostih brojeva", Master's thesis, University of Rijeka, Rijeka, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:196:463757

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Metadata
TitleFunkcije povezane s distribucijom prostih brojeva
Title (english)Functions connected with the distribution of prime numbers
AuthorDanijel Leoni
MentorAna Jurasić (mentor)
Committee memberAndrea Švob (predsjednik povjerenstva)
GranterUniversity of Rijeka
(Faculty of Mathematics)
Rijeka
Defense date and country2022-09-20, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
Abstract
U ovom radu opisane su, kao što i sam naslov kaže, funkcije povezane s distribucijom prostih brojeva. Konkretno, to su Čebiševljeve funkcije i Riemannova zeta-funkcija, koje su veliki značaj imale u takozvanom Teoremu o prostim brojevima te Dirichletova L-funkcija pomoću koje je dokazan Dirichletov teorem o prostim brojevima u aritmetičkom nizu. Osim toga, spomenut će se i razvoj teorije brojeva kroz povijest te na kraju navesti neke nedokazane tvrdnje vezane uz proste brojeve.
Abstract (english)
In this paper, as the title itself says, functions related to the distribution of prime numbers are described. Specifically, these are the Chebyshev functions and the Riemann zeta-function, which were of great importance in the so-called Prime Number Theorem, and Dirichlet's L-function, which proved Dirichlet's theorem on prime numbers in an arithmetic sequence. In addition, the development of number theory throughout history will be mentioned, and at the end some unproven claims related to prime numbers will be mentioned.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:196:463757
Study programmeTitle: Discrete Mathematics and its Applications
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 Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) icon
Created on2022-09-14 19:17:08