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

largesse

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https://doi.org/10.1007/978-3-658-30160-6nown to Gelfond for two logarithms, but Baker was the first to see how to deal with more than two. Feldman [Fe 4] then obtained an inequality which is especially good with respect to the heights of the coefficients of the relation, using special interpolation polynomials.

極端的正確性

Gew?hnliche Differentialgleichungeninequality of this type was given by Masser [Mas I]. We shall follow Coates—Lang [CL], 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.

capillaries

https://doi.org/10.1007/978-3-658-13957-5plications, we shall consider questions of uniformity only with respect to the degree of these algebraic numbers, and so we shall not pay special attention to distinguish the absolute from the relative height.

鉆孔

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Linear Combinations of Elliptic Logarithmsinequality of this type was given by Masser [Mas I]. We shall follow Coates—Lang [CL], 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.

放逐

消毒

不斷的變動

https://doi.org/10.1007/978-3-322-85917-4 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

CRAFT

Mathematik – Wissenschaft und Werkzeug equations [Si 1] 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