The distribution of central values of elliptic curve L-functions Academic Article uri icon

abstract

  • © 2015 Elsevier Inc. We present some numerical results on the distribution of nonzero central values of elliptic curve L-functions. We compare the family of elliptic curves Ea,b: y2=x3 + ax + b with (a, b) ranging over a large box, and Cremona's list of all elliptic curves with conductor 340000 ≤ N < 350000. We also present a non-rigorous method for calculating central values that is faster than the approximate functional equation by a logarithmic factor.

author list (cited authors)

  • Hinkel, D., & Young, M. P.

citation count

  • 0

publication date

  • November 2015