Sökning: "riemann"

Visar resultat 1 - 5 av 47 uppsatser innehållade ordet riemann.

  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. Supersymmetry in Quantum Mechanics

    Kandidat-uppsats, Uppsala universitet/Institutionen för materialvetenskap

    Författare :Ludvig Chen; [2023]
    Nyckelord :Quantum Mechanics; Supersymmetry; Witten Index; Morse Theory;

    Sammanfattning : The introduction of supersymmetry has led to great progress in the study of quantum field theories. Notably, with supersymmetry, properties of a quantum field theory can be computed with higher precision than what would otherwise be possible. In this project, we investigate supersymmetry in the context of quantum mechanics. LÄS MER

  4. 3. The Riemann Hypothesis and the Distribution of Primes

    Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)

    Författare :David Appelgren; Leo Tikkanen; [2023]
    Nyckelord :Riemann; Riemann Hypothesis; Zeta Function; Prime Number Theorem;

    Sammanfattning : The aim of this thesis is to examine the connection between the Riemannhypothesis and the distribution of prime numbers. We first derive theanalytic continuation of the zeta function and prove some of its propertiesusing a functional equation. LÄS MER

  5. 4. Differentialekvationer med minne : Integration och konvergens

    Kandidat-uppsats, Mälardalens universitet/Akademin för utbildning, kultur och kommunikation

    Författare :Josefine Ramstedt; [2023]
    Nyckelord :Differentialekvationer med minne; Riemann-Stieltjes integral; konvergens; integration;

    Sammanfattning : Differentialekvationer med minne är ett redskap som ofta används inom modellering i olika områden. Vid lösning av differentialekvationer använder man sig ofta av integrering, mer specifikt kan man använda sig av Riemann-Stieltjes integral. LÄS MER

  7. 5. The Riemann Zeta Function and Prime Numbers

    Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)

    Författare :Oskar Rune; Linus Envall; [2023]
    Nyckelord :;

    Sammanfattning : This thesis is the result of a literature study regarding the relationship between the Riemann zeta function and prime numbers. We introduce the $\zeta$ function, discussing its properties. Then, starting from Riemann's original series, we derive the Euler product formula and functional equation for $\zeta$. LÄS MER