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master's thesis
Skup prostih brojeva
2019. urn:nbn:hr:166:709621
Kapor, Ines
University of Split
Faculty of Science
Department of Mathematics

Cite this document

Kapor, I. (2019). Skup prostih brojeva (Master's thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:709621

Kapor, Ines. "Skup prostih brojeva." Master's thesis, University of Split, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:166:709621

Kapor, Ines. "Skup prostih brojeva." Master's thesis, University of Split, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:166:709621

Kapor, I. (2019). 'Skup prostih brojeva', Master's thesis, University of Split, Faculty of Science, accessed 16 February 2025, https://urn.nsk.hr/urn:nbn:hr:166:709621

Kapor I. Skup prostih brojeva [Master's thesis]. Split: University of Split, Faculty of Science; 2019 [cited 2025 February 16] Available at: https://urn.nsk.hr/urn:nbn:hr:166:709621

I. Kapor, "Skup prostih brojeva", Master's thesis, University of Split, Faculty of Science, Split, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:166:709621

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Metadata
TitleSkup prostih brojeva
Title (english)Set of Prime Numbers
AuthorInes Kapor
MentorBorka Jadrijević (mentor)
Committee memberBorka Jadrijević (predsjednik povjerenstva)
Committee memberMarko Matić (član povjerenstva)
Committee memberMarija Bliznac Trebješanin (član povjerenstva)
GranterUniversity of Split
Faculty of Science
(Department of Mathematics)
Split
Defense date and country2019-09-18, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Ovaj diplomski rad je fokusiran na dvije temeljne činjenice vezane za proste brojeve. Prva je da prostih brojeva ima beskonačno, a druga da im se gustoća smanjuje. Prva činjenica je, naravno, poznata još od vremena Euklida. Medutim, postoji jako puno dokaza ove tvrdnje koji nemaju sličnosti s izvornim Euklidovim dokazom. U ovom radu dajemo neke od tih dokaza: neki su direktni, neki uključuju analizu, a neki potječu iz sasvim drugih područja matematike. Točan način kako se gustoća prostih brojeva smanjuje formalno je zapisan u Teoremu o prostim brojevima. U radu su prezentirani neki rezultati i ideje koje su dovele do dokaza Teorema o prostim brojevima te je dana veza distribucije prostih brojeva s čuvenom Riemannovom slutnjom.
Abstract (english)
In this master’s thesis, we are focused on two basic facts concerning prime numbers. The first fact is that there are infinitely many primes, and the second is that the density of primes thins out. The first fact has been, of course, known since at least the time of Euclid. However, there are a great many proofs of this result not related to Euclid’s original proof. In this thesis, we present some of these proofs: some are direct, some involve analysis, and some come from quite different areas of mathematics. The exact nature of how the density of primes thins out is formalized in the Prime Number Theorem. In this thesis, we present some results and ideas that have led to the proof of the Prime Number Theorem and also the relationship between the distribution of prime numbers and the famous Riemann’s conjecture.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:709621
Study programmeTitle: Mathematics; specializations in: major in pure mathematics, major in computing, major in teaching
Course: major in computing
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsAccess restricted to students and staff of home institution
Terms of useLicence In copyright icon
Created on2020-06-05 12:07:58