Secondary terms in the number of vanishings of quadratic twists of elliptic curve L-functions

@article{Conrey2006SecondaryTI,
  title={Secondary terms in the number of vanishings of quadratic twists of elliptic curve L-functions},
  author={J. Conrey and A. Pokharel and M. Rubinstein and M. Watkins},
  journal={arXiv: Number Theory},
  year={2006}
}
  • J. Conrey, A. Pokharel, +1 author M. Watkins
  • Published 2006
  • Mathematics, Physics
  • arXiv: Number Theory
  • 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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    References

    SHOWING 1-10 OF 19 REFERENCES
    Integral moments of L-functions
    • 308
    • PDF
    Random Matrix Theory and the Fourier Coefficients of Half-Integral-Weight Forms
    • 32
    • PDF
    Modular Elliptic Curves and Fermat′s Last Theorem(抜粋) (フェルマ-予想がついに解けた!?)
    • 1,257
    • PDF
    Mean values of L-functions and symmetry
    • 92
    • PDF
    Random Matrix Theory and L-Functions at s= 1/2
    • 270
    • PDF
    Ring-Theoretic Properties of Certain Hecke Algebras
    • 943
    • PDF
    MATH
    • 24,181
    • PDF
    Autocorrelation of random matrix polynomials, Comm. Math. Phys
    • Autocorrelation of random matrix polynomials, Comm. Math. Phys
    • 2003