灾难 发表于 2025-3-26 20:59:02

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Defense 发表于 2025-3-27 05:12:18

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放逐某人 发表于 2025-3-27 07:25:49

Auxiliary ResultsThis chapter collects various lemmas of elementary algebraic number theory and complex variables, used to make estimates and to solve interpolation problems.

Irascible 发表于 2025-3-27 09:40:27

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manifestation 发表于 2025-3-27 15:53:26

-Adic Additionuadraticity of the additional formula. This takes place in the general framework that a Lie group has an exponential map convergent near the origin, and giving one-parameter analytic subgroups. We want to see what happens when the base field is .-adic. As before, we carry out the theory ad hoc in a

MEEK 发表于 2025-3-27 17:59:48

Kummer Theory curve defined over the number field . Let .∈... We look into the field .(.), where . is some point such that .,where misa positive integer. Let .. as usual denote the group of points of period . on . We shall first assume that ..⊂.. We give a computational proof thatA./2..is finite, making explicit

和音 发表于 2025-3-28 00:48:18

Integral Points equations he uses a somewhat different principle. He first reduces the existence of integral points on the curve to the existence of solutions of another equation .where .,. are fixed coefficients, and α,α′ are units in a number field. He then selects an integer . ≥ 3, and coset representati

ARC 发表于 2025-3-28 03:15:09

The Baker—Feldman Theoremnown to Gelfond for two logarithms, but Baker was the first to see how to deal with more than two. Feldman then obtained an inequality which is especially good with respect to the heights of the coefficients of the relation, using special interpolation polynomials.

Metastasis 发表于 2025-3-28 06:23:56

Linear Combinations of Elliptic Logarithmsinequality of this type was given by Masser . We shall follow Coates—Lang , giving a stronger one, with a pattern of proof which follows the original Baker arguments more closely, especially in the use of the Kummer theory.

harbinger 发表于 2025-3-28 14:29:09

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查看完整版本: Titlebook: Elliptic Curves; Diophantine Analysis Serge Lang Book 1978 Springer-Verlag Berlin Heidelberg 1978 Algebra.Arithmetic.Curves.Diophantische A