Search for dissertations about: "prime number theory"

Showing result 1 - 5 of 13 swedish dissertations containing the words prime number theory.

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. 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

5. 3. Changing the Game : Consociational Theory and Ethnic Quotas in Cyprus and New Zealand

   Author : Anna Jarstad; Timothy D. Sisk; Uppsala universitet; []
   Keywords : SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; Peace and conflict research; consociationalism; game theory; ethnic conflict; divided society; conflict management; constitutional engineering; ethnic quotas; Cyprus; New Zealand; Freds- och konfliktforskning; Peace and conflict research; Freds- och konfliktforskning; Peace and Conflict Research; Freds- och konfliktforskning;

   Abstract : This study addresses the question of what makes ethnic quota systems in parliament work to manage ethnopolitical violence. By a reconstruction of Arend Lijphart’s theory on consociationalism, two causal mechanisms are identified. The first mechanism levels the power balance of contending groups by permanent inclusion in parliament. READ MORE

6. 4. 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

7. 5. Theoretical prediction of properties of atomistic systems : Density functional theory and machine learning

   Author : Alexander Lindmaa; Rickard Armiento; Igor Abrikosov; Torbjörn Björkman; Linköpings universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY;

   Abstract : The prediction of ground state properties of atomistic systems is of vital importance in technological advances as well as in the physical sciences. Fundamentally, these predictions are based on a quantum-mechanical description of many-electron systems. READ MORE