Drinfeld modular function = 드린벨트 보형함수

In 1973, Drinfeld introduced the notion of elliptic modules, which are now known as Drinfeld modules. After that the analogies between number fields and function fields have many interesting new aspects. In the first part of this thesis, we establish some properties of Drinfeld modular functions in analogy with those obtained by Shimura and Berndt respectively. In the second part of this thesis, we will show that the coefficients of the Drinfeld modular equation $φ_n$ is not bounded as the degree of n goes to infinity. We also give an upper bound of the coefficients of the Drinfeld modular equation $φ_n$.
Advisors
Bae, Sung-Hanresearcher배성한researcher
Publisher
한국과학기술원
Issue Date
2001
Identifier
166350/325007 / 000935267
Language
eng
Description

학위논문(박사) - 한국과학기술원 : 수학전공, 2001.2, [ [ii], 49 p. ]

Keywords

드린벨트 보형방정식; 드린벨트 보형함수; Function Field; Drinfeld Modular Function; 함수체; Drinfeld Modular Equation

URI
http://hdl.handle.net/10203/41830
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=166350&flag=t
Appears in Collection
MA-Theses_Ph.D.(박사논문)
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