Jan Hilmar

collaborators

2 papers

math.AG2009

Euclid meets Bezout: Intersecting algebraic plane curves with the Euclidean algorithm

Jan Hilmar, Chris Smyth

We show how the Eulcidean algorithm for polynomials can be used to find the intersection points, with multiplicities, of two plane algebraic curves.

math.NT2007

Consequences of the Continuity of the Monic Integer Transfinite Diameter

Jan Hilmar

We consider the problem of determining the monic integer transfinite diameter for real intervals $I$ of length less than 4. We show that $t_{M} ([0, x])$ , as a function in $x > 0$ , is co…