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- W2893951907 abstract "In this paper, the proof of the existence of a rational point on an elliptic curve is transformed into the proof of the existence of an integer solution for a Diophantine equation. By a new formula for calculating the number of elements in intersection of two finite sets, a necessary and sufficient condition for existence of a rational point on an elliptic curve is established. This condition is different from L-function in the Birch and Swinnerton-Dyer conjecture." @default.
- W2893951907 created "2018-10-05" @default.
- W2893951907 creator A5048782989 @default.
- W2893951907 date "2018-09-30" @default.
- W2893951907 modified "2023-09-23" @default.
- W2893951907 title "A Necessary and Sufficient Condition for Existence of a Rational Point on an Elliptic Curve" @default.
- W2893951907 cites W1604636366 @default.
- W2893951907 doi "https://doi.org/10.48550/arxiv.1810.00320" @default.
- W2893951907 hasPublicationYear "2018" @default.
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