Celoštevilske trojiške forme : delo diplomskega seminarja

Kačarević, Sara (author), Strle, Sašo (mentor)

V diplomskem delu je opisana klasifikacija pozitivnih trojiških kvadratnih form nad celimi števili, na osnovi česar je izpeljan izrek o vsotah treh kvadratov celih števil. Tema spada v področje algebre in teorije števil.

• Language: Slovenian
• Keywords: teorija števil, vsota treh kvadratov, kvadratne forme
• Work type: Final seminar paper
• Typology: 2.11 - Undergraduate Thesis
• Organization: FMF - Faculty of Mathematics and Physics
• Year: 2022
• PID: 20.500.12556/RUL-141129
• UDC: 511
• COBISS.SI-ID: 125063171
• Publication date in RUL: 23.09.2022

Secondary language

• Language: English
• Title: Ternary quadratic forms

Abstract

The thesis describes the classification of positive ternary quadratic forms over the integers, which leads to the theorem on sums of three squares of integers. The topic falls within the field of algebra and number theory.

• Keywords: number theory, quadratic forms, sums of three squares