The second moment of quadratic twists of modular LL-functions

  • Kannan Soundararajan

    Stanford University, USA
  • Matthew P. Young

    Texas A&M University, College Station, USA

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.

Cite this article

Kannan Soundararajan, Matthew P. Young, The second moment of quadratic twists of modular LL-functions. J. Eur. Math. Soc. 12 (2010), no. 5, pp. 1097–1116

DOI 10.4171/JEMS/224