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Results tagged with birch-swinnerton-dyer
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user 1384
Questions related to the Birch and Swinnerton-Dyer conjecture about the vanishing order and first Taylor coefficient of the L-functions of elliptic curves at the point 1.
40
votes
Accepted
How did Birch and Swinnerton Dyer arrive at their conjecture?
For what it's worth, here are some historical comments.
Both Birch and S-D spoke in Cambridge a few weeks ago, on the history of their conjecture. To my surprise, both of them emphasized the role not …
- 41.4k
9
votes
What is the smallest positive integer for which the congruent number problem is unsolved?
Kazuo Matsuno writes (personal communication):
"I verified (10 years ago) by using mwrank and magma that E_N:y^2=x^3-N^2x
has a non-torsion point if N<=10^6 is congruent to 1,2,3 modulo 8 and
the ana …
- 41.4k
17
votes
2
answers
2k
views
What is the smallest positive integer for which the congruent number problem is unsolved?
The congruent number problem is the problem of figuring out whether a given positive integer $N$ is the area of a right-angled triangle with all side lengths rational. According to Dickson's "History …
- 41.4k