The Conjecture of Birch and Swinnerton-Dyer
| Autor: | Andrew Wiles, John Coates |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Abelian variety
Pure mathematics Conjecture Mathematics::Number Theory 010102 general mathematics 010103 numerical & computational mathematics Birch and Swinnerton-Dyer conjecture Euler system 01 natural sciences symbols.namesake Elliptic curve Number theory symbols 0101 mathematics Euler product Congruent number Mathematics |
| Zdroj: | Open Problems in Mathematics ISBN: 9783319321608 |
| Popis: | The conjecture of Birch and Swinnerton-Dyer is one of the principal open problems of number theory today. Since it involves exact formulae rather than asymptotic questions, it has been tested numerically more extensively than any other conjecture in the history of number theory, and the numerical results obtained have always been in perfect accord with every aspect of the conjecture. The present article is aimed at the non-expert, and gives a brief account of the history of the conjecture, its precise formulation, and the partial results obtained so far in support of it. |
| Databáze: | OpenAIRE |
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