Sökning: "Prime Numbers"

Visar resultat 1 - 5 av 18 avhandlingar innehållade orden Prime Numbers.

1. 1. Geometry of numbers, class group statistics and free path lengths

   Författare :Samuel Holmin; Pär Kurlberg; Yiannis Petridis; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; geometry of numbers; lattices; class numbers; class groups; free path lengths; Mathematics; Matematik;

   Sammanfattning : This thesis contains four papers, where the first two are in the area of geometry of numbers, the third is about class group statistics and the fourth is about free path lengths. A general theme throughout the thesis is lattice points and convex bodies. LÄS MER

3. 2. Monomial Dynamical Systems in the Fields of p-adic Numbers and Their Finite Extensions

   Författare :Marcus Nilsson; Andrei Khrennikov; Bertin Diarra; Växjö universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; p-adic numbers; discrete dynamical systems; number of cycles; perturbation; roots of unity; Möbius inversion; distribution of prime numbers; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

   Sammanfattning : .... LÄS MER

4. 3. Ramification numbers and periodic points in arithmetic dynamical systems

   Författare :Jonas Nordqvist; Karl-Olof Lindahl; Johan Öinert; Linnéuniversitetet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; ramification numbers; local fields; arithmetic dynamics; periodic points; Nottingham group; Mathematics; Matematik;

   Sammanfattning : The field of discrete dynamical systems is a rich and active field of research within mathematics, with applications ranging from biology to computer science, finance, engineering and various others. In this thesis properties of certain discrete dynamical systems are studied together with number theoretic properties of the functions defining these systems. LÄS MER

5. 4. Algebraic Dynamical Systems, Analytical Results and Numerical Simulations

   Författare :Robert Nyqvist; Andrei Khrennikov; Vladimir Anashin; Växjö universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; discrete dynamical systems; p-adic numbers; finite fields; number of periodic points; Chebotarev s Density Theorem; computational number theory; MATHEMATICS; MATEMATIK;

   Sammanfattning : In this thesis we study discrete dynamical system, given by a polynomial, over both finite extension of the fields of p-adic numbers and over finite fields. Especially in the p-adic case, we study fixed points of dynamical systems, and which elements that are attracted to them. We show with different examples how complex these dynamics are. LÄS MER

7. 5. On the linearization of non-Archimedean holomorphic functions near an indifferent fixed point

   Författare :Karl-Olof Lindahl; Andrei Khrennikov; Franco Vivaldi; Växjö universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; dynamical system; linearization; conjugation; non-Archimedean field; Algebra; geometry and mathematical analysis; Algebra; geometri och analys; Mathematics; Matematik;

   Sammanfattning : We consider the problem of local linearization of power series defined over complete valued fields. The complex field case has been studied since the end of the nineteenth century, and renders a delicate number theoretical problem of small divisors related to diophantine approximation. LÄS MER