Definable sets over finite fields
| dc.contributor | Graduate Program in Mathematics. | |
| dc.contributor.advisor | Beyarslan, Özlem. | |
| dc.contributor.author | Güner, Kadir Güray. | |
| dc.date.accessioned | 2023-03-16T11:21:39Z | |
| dc.date.available | 2023-03-16T11:21:39Z | |
| dc.date.issued | 2013. | |
| dc.description.abstract | Counting the number of points of an algebraic set over a finite field has been studied by Hasse [1], Lang and Weil [2], and is an important theme in algebra. In this thesis, we present the results found by Chatzidakis, van den Dries and Macintyre in the article Definable Sets over Finite Fields [3] and their applications. These results give estimates of the number of points of definable sets over finite fields. Main theorem of the thesis says that given a formula with n variables, the number of points of the set de ned by this formula in a finite field Fq with q elements is approximately qd. The constants u and d can take only finitely many values independent of the field Fq the formula is defined in. | |
| dc.format.extent | 30 cm. | |
| dc.format.pages | vi, 80 leaves ; | |
| dc.identifier.other | MATH 2013 G85 | |
| dc.identifier.uri | https://digitalarchive.library.bogazici.edu.tr/handle/123456789/15270 | |
| dc.publisher | Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2013. | |
| dc.subject.lcsh | Finite fields (Algebra). | |
| dc.title | Definable sets over finite fields |
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