Essays about: "conjecture"

Showing result 1 - 5 of 64 essays containing the word conjecture.

  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

  3. 2. SeqLTL and ωLTL

    University essay from Göteborgs universitet/Institutionen för data- och informationsteknik

    Author : Oskar Grekula; [2023-10-19]
    Keywords : Linear Temporal Logic; Co-safety LTL; Tight Witness; Compositional;

    Abstract : Linear Temporal Logic (LTL) is worthwhile for its applications in, among others, model checking, runtime verification and reactive synthesis. However, many useful properties are not expressible in LTL, or not in a natural way. READ MORE

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

    University essay from Göteborgs universitet/Institutionen för matematiska vetenskaper

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

    Abstract : 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. READ MORE

  5. 4. Goldbach’s Conjecture – Numerical Results

    University essay from Mälardalens universitet/Akademin för utbildning, kultur och kommunikation

    Author : Daniel Edqvist; [2023]
    Keywords : Goldbach conjecture; Goldbach partitions; prime numbers; Goldbachs förmodan; Goldbach partitioner; primtal;

    Abstract : The Goldbach conjecture states that every even number greater than 2 can be written as a sumof two prime numbers. This thesis will go through the necessary theory and the backgroundto the problem at hand. READ MORE

  6. 5. The Impact of Swampland Conjectures

    University essay from Uppsala universitet/Teoretisk fysik

    Author : Daniel Nilsson; [2023]
    Keywords : String theory; Quantum gravity; Swampland program; Effective field theories;

    Abstract : The Swampland program is way of sorting effective field theories based on conjectures of how an effective field theory consistent with quantum gravity should look like. In this thesis we take a closer look at the No Global Symmetries Conjecture, the Weak Gravity Conjecture, the de Sitter Conjecture and the Trans-Planckian Censorship Conjecture. READ MORE