DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Koo, Ja-Kyung | - |
dc.contributor.advisor | 구자경 | - |
dc.contributor.author | Choi, So-Young | - |
dc.contributor.author | 최소영 | - |
dc.date.accessioned | 2011-12-14T04:52:55Z | - |
dc.date.available | 2011-12-14T04:52:55Z | - |
dc.date.issued | 1997 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=112770&flag=dissertation | - |
dc.identifier.uri | http://hdl.handle.net/10203/41964 | - |
dc.description | 학위논문(석사) - 한국과학기술원 : 수학과, 1997.2, [ [ii], 39 p. ; ] | - |
dc.description.abstract | Any element f(z) of $D_k(Γ_{0}(N),χ) = {∈D_k(Γ_{0}(N)_{χ})|f|_{k}γ = χ(γ)f for any γ∈Γ_0(N)}$ has a Fourier expansion of the form $f(z) = \∑_{n=0}^{∞}a_{n}e^{2πinz}$. Never theless a holomorphic function $f(z)$ on $\BDbb H$ with a Fourier expansion is not necessarily a modular form. In Chpter 2, we shall provide a Hecke equivalence between the automorphy of f(z) and a certain functional equation of a Dirichlet series $L(s;f) = ∑_{n=0}^{∞} a_{n}n^{-s}$. In Chapter 3, we shall give a Weil equivalence between the automorphy of f(z) and a certain functional equation of a twisted Dirichlet series $L(s;f,φ) = ∑_{n=1}^{∞}φ(n)a_{n}n^{-s} with Dirichlet character χ$. | eng |
dc.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.subject | Hecke-Weil equivalances | - |
dc.subject | 헤케-베일의 동치성 | - |
dc.title | Hecke-Weil equivalances | - |
dc.title.alternative | 헤케-베일의 동치성에 관한 연구 | - |
dc.type | Thesis(Master) | - |
dc.identifier.CNRN | 112770/325007 | - |
dc.description.department | 한국과학기술원 : 수학과, | - |
dc.identifier.uid | 000953612 | - |
dc.contributor.localauthor | Koo, Ja-Kyung | - |
dc.contributor.localauthor | 구자경 | - |
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