Essays about: "talteori"

Showing result 6 - 9 of 9 essays containing the word talteori.

  1. 6. On the Asymptotic Behaviour of Sums of Two Squares : Theoretical and Numerical Studies of the Counting Function B(x)

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Ivar Eriksson; Lukas Gustafsson; [2018]
    Keywords : ;

    Abstract : Studying the distributions of special numbers is a fundamental area of research in number theory. This paper studies the distribution of sums of two squares using analytic number theory. The asymptotic behaviour of the corresponding counting function, B(x), is the object of study. READ MORE

  3. 7. Observations on continued fractions from Ford's point of view

    University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten)

    Author : Raul Hindov; [2016]
    Keywords : continued fractions; Ford circles; integer factoring; Diophantine approximation; Mathematics and Statistics;

    Abstract : Detta är ett projekt på en geometrisk metod för att visualisera beräkning av kedjebråk, som har utvecklats av Lester R. Ford på 1930-talet. Beskrivningen av metoden följs med användning tekniken av Ford cirklar på tre olika fall. READ MORE

  4. 8. On Special Cases of Dirichlet’s Theorem on Arithmetic Progressions

    University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten)

    Author : Johan Jönsson; [2015]
    Keywords : Dirichlet’s Theorem; primes; cyclotomic polynomial; Mathematics and Statistics;

    Abstract : Dirichlet’s theorem regarding existence of infinitely many primes in progressions on the form a, a + n, a + 2n... when (a,n) = 1 is well known and proved by using Dirichlet series. READ MORE

  5. 9. A problem in number theory

    University essay from Matematik och tillämpad matematik; Tekniska högskolan

    Author : Hannah Schäfer Sjöberg; [2013]
    Keywords : number theory; talteori;

    Abstract : This thesis focuses on a function which moves the last digit of an integer to the first position, e.g. A(123) = 312. The objective of this thesis is to show how one can find all solutions x to the equation A(x)  = kx, where k is a rational number. READ MORE