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An elliptic curve test of the L-Functions Ratios Conjecture
An elliptic curve test the L-Functions Ratios Conjecture
2010/11/19
We compare the L-Function Ratios Conjecture's prediction with number theory for the family of quadratic twists of a fixed elliptic curve with prime conductor, and show agreement in the 1-level densit...
The main result of this paper is the proof of the "transversal part" of the homological mirror symmetry conjecture for an elliptic curve which states an equivalence of two $A_{\infty}$-structures on ...