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.identifier.other	MATH 2013 G85
dc.identifier.uri	http://digitalarchive.boun.edu.tr/handle/123456789/15270
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.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
dc.format.pages	vi, 80 leaves ;