The conjecture of Birch and Swinnerton-Dyer (Q2878173)
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scientific article; zbMATH DE number 6335617
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The conjecture of Birch and Swinnerton-Dyer |
scientific article; zbMATH DE number 6335617 |
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28 August 2014
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Birch and Swinnerton-Dyer conjecture
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The conjecture of Birch and Swinnerton-Dyer (English)
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This paper (in Dutch) is aimed at advanced high school teachers and explains the Birch and Swinnerton-Dyer conjecture in historical perspective, starting with examples of elliptic curves from Fermat, then explaining how to count points modulo primes, up to the definition of \(L\)-series. The paper ends with a sketch of the results of Gross, Zagier and Kolyvagin. None of the more recent ``arithmetic statistics'' (proving that the conjecture holds for a certain portion of elliptic curves) is included.
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