The second moment of quadratic twists of modular L-functions Academic Article uri icon

abstract

  • We study the second moment of the central values of quadratic twists of a modular L-function. Unconditionally, we obtain a lower bound which matches the conjectured asymptotic formula, while on GRH we prove the asymptotic formula itself. European Mathematical Society 2010.

published proceedings

  • JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

author list (cited authors)

  • Soundararajan, K., & Young, M. P.

citation count

  • 27

complete list of authors

  • Soundararajan, K||Young, Matthew P

publication date

  • January 2010