Algebraic K-Theory
The Birch and Swinnerton-Dyer Conjecture is a conjecture in number theory that predicts a deep relationship between the rank of an elliptic curve and the behavior of its L-function at a specific point. It connects the fields of algebraic geometry and analytic number theory, suggesting that the number of rational points on an elliptic curve can be determined by the properties of its associated L-function.
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