Lokalno-globalni princip

Mrkalj, Ivona (2016) Lokalno-globalni princip. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

The theme of this master thesis is the local-global principle. We are going to prove one of the most significant results of the local-global principle the Hasse-Minkowski theorem, which claims that local-global principle is valid for quadratic forms. In the first chapter we are going to get familiar with basic terms and results of number theory. In the second and third chapter we define p-adic numbers and quadratic forms, and prove theorems and statements that will be of significant importance in proving the Hasse-Minkowski theorem. We will conclude this master thesis with a proof of the Hasse-Minkowski theorem, which we will conduct by proving it separately for quadratic forms with 1,2,3,4, and more than 5 variables.

Item Type: Thesis (Diploma thesis)
Supervisor: Najman, Filip
Date: 2016
Number of Pages: 33
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 04 Nov 2016 11:44
Last Modified: 04 Nov 2016 11:44
URI: http://digre.pmf.unizg.hr/id/eprint/5260

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