Research and Reports on Mathematics

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Proof and Disproof of Birch and Swinnerton-Dyer Conjecture

Disproof of Birch Swinnerton Dyer as all elliptical curves have infinite rational points with no relationship with the L function being equal to 0. Elliptical curves exist independently of L functions and their relationship with 0. All Elliptical curves have infinite rational points. On any curve one can place an infinite number of points. As Birch discussed an "If and only if" relationship between elliptical curves and the L function, the conjecture can be seen as disproven as all curves have infinite points there does not have to an L function relationship. Elliptical curves can exist independently of the L functions relationship with 0. Kurt Gödel was right when he described the Incompleteness Theorem that axioms are incomplete. "In everyday language, it says that no matter how hard you try, your set of axioms will always be incomplete-they won't be sufficient to prove all the true facts.

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