Birch i Swinnerton-Dyerova slutnja

Sikirić, Marko (2016) Birch i Swinnerton-Dyerova slutnja. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

In this work we tried, as precise as possible, to define and explain this extraordinary conjecture. The deepest results are just stated. We tried to show, as exactly as possible, the main objects and their explanation. First we showed the main properties of elliptic curves and the mathematical theory around them. Then we define and explain L-functions and the very elusive Tate-Šafarevič group, where we to come to p-adic numbers and briefly touch on the subject of Galois Cohomology. At the end we state the Birch and Swinnerton-Dyer conjecture and try to understand where such a strong idea comes from. We show the main results and some consequences of this conjecture. This work is to be understood as an introduction to this wide and deep mathematical domain.

Item Type: Thesis (Diploma thesis)
Supervisor: Najman, Filip
Date: 2016
Number of Pages: 29
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 11 Nov 2016 12:39
Last Modified: 11 Nov 2016 12:39
URI: http://digre.pmf.unizg.hr/id/eprint/5284

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