Some studies on complex multiplicaton of elliptic curves = 타원곡선의 허수승법론 고찰

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In chapter 2, we show that the singular j-invariant has special properties. First we prove that j is an algebraic integer. Second, by using j we construct the Hilbert class field of an imaginary quadratic field K. Lastly, we will give an example about some property of j at the end of chaper 1. In chapter 3, we define the Grossencharacter attached to an elliptic curve E/L by using the main theorem of complex multiplication, and we show that if E has complex multiplication, then the L-series of E/L has an analytic continuation to the entire complex plane and satisfies a functional equation by showing that the L-series of E/L is a product of Hecke L-series with the associated Grossencharacter.
Advisors
Koo, Ja-Kyungresearcher구자경researcher
Description
한국과학기술원 : 수학전공,
Publisher
한국과학기술원
Issue Date
2002
Identifier
177031/325007 / 020003523
Language
eng
Description

학위논문(석사) - 한국과학기술원 : 수학전공, 2002.8, [ v, 30 p. ; ]

Keywords

Hilbert class field; elliptic curve; complex multiplication; L-series; 양지표; 절대유체; 허수승법; 타원곡선; j-invariant

URI
http://hdl.handle.net/10203/42053
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=177031&flag=dissertation
Appears in Collection
MA-Theses_Master(석사논문)
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