Kubni i bikvadratni zakoni reciprociteta

master's thesis

• Author: Ana Boban
• Mentor: Andrej Dujella (mentor)
• Committee member: Andrej Dujella (predsjednik povjerenstva)
• Committee member: Filip Najman (član povjerenstva)
• Committee member: Robert Manger (član povjerenstva)
• Committee member: Goran Muić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2014-09-26, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

U ovom radu govorimo o kubnim i bikvadratnim zakonima reciprociteta. Polazimo od definicije Gaussove i Jacobi sume, te od kvadratnog zakona reciprociteta. Koristimo neka jednostavnija svojstva Gaussove i Jacobi sume kako bismo dokazali zakone kubne i bikvadratne recipročnosti.

Abstract (english)

In this thesis we talk about cubic and quartic reciprocity laws. We start from the definition of Gauss and Jacobi sums and quadratic reciprocity law. We use some of the simpler properties of Gauss and Jacobi sums to prove the cubic and quartic reciprocity laws.

• Keywords: kubni zakon reciprociteta; bikvadratni zakon reciprociteta; Gaussova suma; Jacobi suma; kvadratni zakon reciprociteta
• Keywords (english): cubic reciprocity law; quartic reciprocity law; Gauss sum; Jacobi sum; quadratic reciprocity law
• Language: croatian
• URN:NBN: urn:nbn:hr:217:060035
• Study programme: Title: Mathematics Education; specializations in: Mathematics Education; Course: Mathematics Education; Study programme type: university; Study level: graduate; Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2017-06-06 11:41:41