Essays about: "1-level density"

Found 1 essay containing the words 1-level density.

  1. 1. Low-lying zeroes of L-functions attached to modular forms

    University essay from Göteborgs universitet/Institutionen för matematiska vetenskaper

    Author : Alf Söderberg; [2024-03-22]
    Keywords : Number theory; L-functions; Modular forms; Newforms; Low-lying zeros; 1-level density; Density Conjecture; Ratios Conjecture.;

    Abstract : We study the family of L-functions attached to Hecke newforms of weight k and level N and their low-lying zeroes. First, we recall the Density Conjecture of Katz and Sarnak and how it predicts the behaviour of the low-lying zeroes of any natural family of L-functions. READ MORE