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

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.

authors

• Young, Matthew

published proceedings

• JOURNAL OF NUMBER THEORY

author list (cited authors)

• Hinkel, D., & Young, M. P.

citation count

• 0

complete list of authors

• Hinkel, Dustin||Young, Matthew P

publication date

• January 2015

publisher

• Elsevier  Publisher

published in

• Journal of Number Theory  Journal

keywords

• Elliptic Curves
• L-functions
• Random Matrix Theory

Digital Object Identifier (DOI)

• 10.1016/j.jnt.2015.03.017

start page

• 15

end page

• 20

volume

• 156

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fj.jnt.2015.03.017