Elliptic Curves Diophantine Analysis
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...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
1978, 1978
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| Edition: | 1st ed. 1978 |
| Series: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- I. General Algebraic Theory
- I. Elliptic Functions
- II. The Division Equation
- III. p-Adic Addition
- IV. Heights
- V. Kummer Theory
- V1. Integral Points
- II. Approximation of Logarithms
- VII. Auxiliary Results
- VIII. The Baker—Feldman Theorem
- IX. Linear Combinations of Elliptic Logarithms
- X. The Baker—Tijdeman Theorem
- XI. Refined Inequalities