Secondary terms in the number of vanishings of quadratic twists of elliptic curve L-functions
classification
🧮 math.NT
math-phmath.MP
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numbertwistsvanishingsconjecturecurveellipticquadraticterms
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We examine the number of vanishings of quadratic twists of the L-function associated to an elliptic curve. Applying a conjecture for the full asymptotics of the moments of critical L-values we obtain a conjecture for the first two terms in the ratio of the number of vanishings of twists sorted according to arithmetic progressions.
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