Search for dissertations about: "prime number"

Showing result 1 - 5 of 79 swedish dissertations containing the words prime number.

  2. 1. Problems in Number Theory related to Mathematical Physics

    Author : Rikard Olofsson; Pär Kurlberg; Nalini Anantharaman; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; number theory; mathetical physics; local zeta functions; cat maps; Beurling primes; MATHEMATICS; MATEMATIK;

    Abstract : This thesis consists of an introduction and four papers. All four papers are devoted to problems in Number Theory. In Paper I, a special class of local ζ-functions is studied. The main theorem states that the functions have all zeros on the line Re(s)=1/2. READ MORE

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

    Author : Robert Nyqvist; Andrei Khrennikov; Vladimir Anashin; Växjö universitet; []
    Keywords : 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;

    Abstract : 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. READ MORE

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

    Author : Marcus Nilsson; Andrei Khrennikov; Bertin Diarra; Växjö universitet; []
    Keywords : 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;

    Abstract : .... READ MORE

  6. 4. Computing abelian varieties over finite fields

    Author : Stefano Marseglia; Jonas Bergström; Christophe Ritzenthaler; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; abelian varieties; finite fields; period matrices; ideal classes; orders; number fields; integral matrices; Mathematics; matematik;

    Abstract : In this thesis we address the problem of developing effective algorithms to compute isomorphism classes of polarized abelian varieties over a finite field and of fractional ideals of an order in a finite product of number fields.There are well-known methods to efficiently compute the classes of invertible ideals of an order in a number field, but not much has previously been known about non-invertible ideals. READ MORE

  7. 5. Algorithmic Methods in Combinatorial Algebra

    Author : Anna Torstensson; Algebra; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; algebraic geometry; field theory; Number Theory; maximal symmetry group; resultant; SAGBI basis; Orthogonal decomposition; algebra; group theory; Talteori; fältteori; algebraisk geometri; gruppteori;

    Abstract : This thesis consists of a collection of articles all using and/or developing algorithmic methods for the investigation of different algebraic structures. Part A concerns orthogonal decompositions of simple Lie algebras. The main result of this part is that the symplectic Lie algebra C3 has no orthogonal decomposition of so called monomial type. READ MORE