Search for dissertations about: "Manh Hung Tran"

Found 2 swedish dissertations containing the words Manh Hung Tran.

  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. The density of rational points and invariants of genus one curves

    Author : Manh Hung Tran; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; genus one; discriminant; modular form; Elliptic curve; height; descent; determinantal representation; invariant; rational point; theta function.; determinant method;

    Abstract : The present thesis contains three papers dealing with two arithmetic problems on curves of genus one, which are closely related to elliptic curves. The first problem is to study the density of rational points presented in Papers I and II. READ MORE