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Titlebook: Elliptic Functions; Serge Lang Textbook 1987Latest edition Springer-Verlag New York Inc. 1987 Modular form.complex analysis.elliptic funct

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發(fā)表于 2025-3-21 18:15:10 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Elliptic Functions
編輯Serge Lang
視頻videohttp://file.papertrans.cn/308/307791/307791.mp4
叢書名稱Graduate Texts in Mathematics
圖書封面Titlebook: Elliptic Functions;  Serge Lang Textbook 1987Latest edition Springer-Verlag New York Inc. 1987 Modular form.complex analysis.elliptic funct
描述Elliptic functions parametrize elliptic curves, and the intermingling of the analytic and algebraic-arithmetic theory has been at the center of mathematics since the early part of the nineteenth century. The book is divided into four parts. In the first, Lang presents the general analytic theory starting from scratch. Most of this can be read by a student with a basic knowledge of complex analysis. The next part treats complex multiplication, including a discussion of Deuring‘s theory of l-adic and p-adic representations, and elliptic curves with singular invariants. Part three covers curves with non-integral invariants, and applies the Tate parametrization to give Serre‘s results on division points. The last part covers theta functions and the Kronecker Limit Formula. Also included is an appendix by Tate on algebraic formulas in arbitrary charactistic.
出版日期Textbook 1987Latest edition
關(guān)鍵詞Modular form; complex analysis; elliptic function; integral; operator; theta function
版次2
doihttps://doi.org/10.1007/978-1-4612-4752-4
isbn_softcover978-1-4612-9142-8
isbn_ebook978-1-4612-4752-4Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightSpringer-Verlag New York Inc. 1987
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Reduction of Elliptic Curves We shall not give any proofs. These can be given ad hoc, as Deuring did, for the elliptic curves, or one can develop a general reduction theory, as in Shimura [39]. No matter what, it is a pain to lay these foundations, but the results can be stated simply. Although classically one reduces over a d
板凳
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Ihara’s Theoryoup [22], pointing out that it has the same. part as in characteristic zero, and that the part acting on the roots of unity is just that generated by the Frobenius element, i.e. those matrices having determinant a power of .. Ihara had the idea of lifting back singular values . of . in the algebraic
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Korrektur von ProgrammieraufgabenLet . be an elliptic curve defined over a field .. For each positive integer . we denote by . the kernel of the map . i.e. it is the subgroup of points of order ..
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Mathematik und Gott und die WeltLet Γ = .(.) again. We define Γ. (or Γ(.)) for each positive integer . to be the subgroup of Γ consisting of those matrices satisfying the condition .in other words..
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Erzieherische LeitvorstellungenIf ., . are positive integers, and .|., then we have a canonical homomorphism .and we can take the projective limit.
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