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Elliptic Curves: Diophantine Analysis (Grundlehren der mathematischen Wissenschaften)


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 | #14834021 in Books |  S Lang |  2010-02-19 | Original language:English | PDF # 1 |  9.00 x.64 x6.00l,.87 | File type: PDF | 264 pages

 | Elliptic Curves Diophantine Analysis

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It is possible to write endlessly on elliptic curves. (This is not a threat.) We deal here with diophantine problems, and we lay the foundations, especially for the theory of integral points. We review briefly the analytic theory of the Weierstrass function, and then deal with the arithmetic aspects of the addition formula, over complete fields and over number fields, giving rise to the theory of the height and its quadraticity. We apply this to integral points, covering...

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