Essays about: "Prime number"

Showing result 1 - 5 of 87 essays containing the words Prime number.

  1. 1. 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

  3. 2. Capacity Analysis of Åre Ski Resort: A Jackson Network Approach

    University essay from KTH/Matematisk statistik

    Author : Martin Siberg; Viktor Rasmussen; [2023]
    Keywords : Capacity Analysis; Jackson Network; Queuing Theory; Ski resort modeling; Åre Ski Resort; Resource Allocation; Nudging; Kapacitetsanalys; Jacksonnätverk; Köteori; Modellering av skidsystem; Åre; Resursallokering; Nudging;

    Abstract : Åre ski resort is the largest and most renowned ski resort in Sweden, offering excellent skiing opportunities, restaurants, and nightlife in a prime location. Meanwhile, it is often subject to heavy traffic during the peak season and has earned a bad reputation for struggling with long lift queues. READ MORE

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

    University essay from KTH/Skolan för teknikvetenskap (SCI)

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

    Abstract : 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. READ MORE

  5. 4. The Riemann Zeta Function and Prime Numbers

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Oskar Rune; Linus Envall; [2023]
    Keywords : ;

    Abstract : 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 $\zeta$. READ MORE

  6. 5. An operator theoretic approach to the Riemann Hypothesis

    University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

    Author : Ramon Arjan van de Scheur; [2023]
    Keywords : Riemann hypothesis; Prime number theorem; Prime number theorem for arithmetic progressions; operator theoretic equivalent; compact operator; prime-counting function; Chebyshev function; Laplace transform; Fourier transform; convolution operator; weak topology; strong topology; compact perturbation; Tauberian theorem; Poisson kernel; holomorphic; self-adjoint; spectrum; trace; Mathematics and Statistics;

    Abstract : In 2023 an operator theoretic approach to the Prime Number Theorem was introduced by Olsen. In this thesis this approach is examined and applied to give a new, operator theoretic, proof of a different version of the Prime Number Theorem and of the Prime Number Theorem for arithmetic progressions. READ MORE