O aritmetici eliptičkih krivulja

master's thesis

• Title (english): On the arithmetic of elliptic curves
• Author: Filip Žgela
• Mentor: Zrinka Franušić (mentor)
• Committee member: Zrinka Franušić (predsjednik povjerenstva)
• Committee member: Boris Širola (član povjerenstva)
• Committee member: Matko Ljulj (član povjerenstva)
• Committee member: Marko Tadić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2024-07-12, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

Kako pronaći racionalne točke na krivulji ako su nam neke već poznate? Što su to eliptičke krivulje? Kako se zbrajaju točke na eliptičkoj krivulji? Čini li eliptička krivulja uz operaciju zbrajanja točaka neku algebarsku strukturu? Time i još nekim temama bavili smo se u ovom diplomskom radu. Niz riješenih primjera trebao bi pomoći u razumijevanju ove teme.

Abstract (english)

How does one find another rational points on curves if we know a few? How do you add points on an elliptic curve? Is that additon a group law? These and a few others are questions that we answered in this paper. We have shown a few examples which should help understanding this topic.

• Keywords: racionalne točke na krivulji; eliptičke krivulje; algebarska struktura
• Language: croatian
• URN:NBN: urn:nbn:hr:217:005510
• Study programme: Title: Mathematics Education; specializations in: Mathematics Education; Course: Mathematics Education; Study programme type: university; Study level: graduate; Academic / professional title: sveučilišni magistar edukacije matematike (sveučilišni magistar edukacije matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2024-07-24 14:28:23