We show that for at least 20% of primitive forms of level 1 and weight , the associated -function at the central point is no less than (log . The key ingredients of our proof are the Kuznetsov convolution formula and the Liouville–Green method.
Cite this article
Olga Balkanova, Dmitry Frolenkov, Moments of -functions and the Liouville–Green method. J. Eur. Math. Soc. 23 (2021), no. 4, pp. 1333–1380DOI 10.4171/JEMS/1035