Class number one problem

dc.contributor	Graduate Program in Mathematics.
dc.contributor.advisor	Özman, Ekin.
dc.contributor.author	Kır, Harun.
dc.date.accessioned	2023-03-16T11:21:47Z
dc.date.available	2023-03-16T11:21:47Z
dc.date.issued	2019.
dc.identifier.other	MATH 2019 K57
dc.identifier.uri	http://digitalarchive.boun.edu.tr/handle/123456789/15313
dc.description.abstract	In 1801, Gauss conjectured that there are exactly nine imaginary quadratic number ﬁelds with class number one, namely: Q(√−1), Q(√−2), Q(√−3), Q(√−7), Q(√−11), Q(√−19), Q(√−43), Q(√−67) and Q(√−163). This conjecture is wellknown as class number one problem. In 1952, K. Heegner ﬁrst solved the problem and he showed that Gauss was right about the assumption in Diophantische analysis und modulfunktionen. In this thesis, we will present a modern approach to the proof of Heegner as in D.A.Cox’s book, Primes of the Form x2 + ny2.
dc.format.extent	30 cm.
dc.publisher	Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2019.
dc.subject.lcsh	Number theory.
dc.title	Class number one problem
dc.format.pages	xii, 100 leaves ;