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# Comment Section for Birch and Swinnerton-Dyer Conjecture - Clay Mathematics Institute

www.claymath.org/millennium/birch-and-swinnerton-dyer-conjecture/

Supported by much experimental evidence, this conjecture relates the number of points on an elliptic curve mod p to the rank of the group of rational points. Elliptic curves, defined by cubic equations in two variables, are fundamental mathematical objects that arise in many areas: Wiles' proof of the Fermat Conjecture, factorization of numbers into primes, and cryptography, to name three.

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Is the zeta function of this conjecture the same as the zeta function from the Riemann hypothesis?

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July 20, 2024, 3:48 p.m.