Search for dissertations about: "rational points"

Showing result 1 - 5 of 42 swedish dissertations containing the words rational points.

  2. 1. Counting rational points on genus one curves

    Author : Manh Hung Tran; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Diophantine equations; rational points; Elliptic curves; genus; descent; determinant method; cubic and quartic curves; genus;

    Abstract : This thesis contains two papers dealing with counting problems for curves of genus one. We obtain uniform upper bounds for the number of rational points of bounded height on such curves. The main tools to study these problems are descent and various refined versions of Heath-Brown’s p-adic determinant method. READ MORE

  4. 2. Rational points on cubic surfaces

    Author : Niklas Broberg; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : .... READ MORE

  5. 3. Counting Rational Points on Curves and Surfaces

    Author : Niklas Broberg; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; rational point; bounded height; counting function; Batyrev-Manin conjecture; thin set; bounded height;

    Abstract : .... READ MORE

  6. 4. Model Order Reduction with Rational Krylov Methods

    Author : K. Henrik A. Olsson; Axel Ruhe; Volker Mehrmann; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Model order reduction; dual rational Arnoldi; rational Krylov; moment matching; eigenvalue computation; stability analysis; heat exchanger model; Numerical analysis; Numerisk analys;

    Abstract : Rational Krylov methods for model order reduction are studied. A dual rational Arnoldi method for model order reduction and a rational Krylov method for model order reduction and eigenvalue computation have been implemented. It is shown how to deflate redundant or unwanted vectors and how to obtain moment matching. READ MORE

  7. 5. Counting solutions to Diophantine equations

    Author : Oscar Marmon; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Integral points; rational points; counting function; exponential sums; Weyl differencing; van der Corput s method; determinant method; sum of k-th powers; counting function;

    Abstract : This thesis presents various results concerning the density of rational and integral points on algebraic varieties. These results are proven with methods from analytic number theory as well as algebraic geometry. READ MORE