We contribute a new algebraic method for computing the orthogonal projections of a point onto a rational algebraic surface embedded in the three-dimensional projective space. This problem is first turned into the computation ...

We design and analyze an algorithm for computing rational points of hypersurfaces defined over a finite field based on searches on vertical strips, namely searches on parallel lines in a given direction. Our results show ...

The aim of this dissertation is to investigate whether there is room for “scientific rationality” in the writings of Paul Feyerabend and, if so, in what terms this concept is expressed. My starting point is Feyerabend’s ...

The aim of this dissertation is to investigate whether there is room for “scientific rationality” in the writings of Paul Feyerabend and, if so, in what terms this concept is expressed. My starting point is Feyerabend’s ...

In this talk we will present some known and new results on the relations between fixed points of an endomorphism of an abelian variety and its rational representation. We will also discuss the natural generalization to the ...

We improve upon the method of Zhu and Zhu [A method for directly finding the denominator values of rational interpolants, J. Comput. Appl. Math. 148 (2002) 341-348] for finding the denominator values of rational interpolants, ...

A curve defined over a finite field is maximal or minimal according to whether the number of rational points attains the upper or the lower bound in Hasse-Weil's theorem, respectively. In the study of maximal curves a ...

A curve defined over a finite field is maximal or minimal according to whether the number of rational points attains the upper or the lower bound in Hasse-Weil's theorem, respectively. In the study of maximal curves a ...