3 papers
math.NT2022
On the decisional Diffie-Hellman problem for class group actions on oriented elliptic curves
Wouter Castryck, Marc Houben, Frederik Vercauteren +1
We show how the Weil pairing can be used to evaluate the assigned characters of an imaginary quadratic order in an unknown ideal class $[\mathfrak{a}] \in \mathrm{Cl}…
math.NT2019
Dynamically affine maps in positive characteristic
Jakub Byszewski, Gunther Cornelissen, Marc Houben +1
We study fixed points of iterates of dynamically affine maps (a generalisation of Lattès maps) over algebraically closed fields of positive characteristic . We present and study…
math.NT2017
Gauss congruences for rational functions in several variables
Frits Beukers, Marc Houben, Armin Straub
We investigate necessary as well as sufficient conditions under which the Laurent series coefficients associated to a multivariate rational function satisfy Ga…