Sökning: "1-level density"

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

    Master-uppsats, Göteborgs universitet/Institutionen för matematiska vetenskaper

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

    Sammanfattning : 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. LÄS MER