Sökning: "Ratios Conjecture."

Hittade 2 uppsatser innehållade orden Ratios Conjecture..

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

3. 2. The low-lying zeros of L-functions associated to non-Galois cubic fields

   Master-uppsats, Göteborgs universitet/Institutionen för matematiska vetenskaper

   Författare :Victor Ahlquist; [2023-02-13]
   Nyckelord :Mathematics; number theory; cubic fields; L-functions; low-lying zeros; onelevel density; two-level density; phase transition.;

   Sammanfattning : We study the low-lying zeros of Artin L-functions associated to non-Galois cubic number fields through their one- and two-level densities. In particular, we find new precise estimates for the two-level density with a power-saving error term. LÄS MER