2 papers
math.CO2018
Sum-Product Phenomena for Planar Hypercomplex Numbers
Matthew Hase-Liu, Adam Sheffer
We study the sum-product problem for the planar hypercomplex numbers: the dual numbers and double numbers. These number systems are similar to the complex numbers, but it turns out…
math.NT2017
Efficient Point-Counting Algorithms for Superelliptic Curves
Matthew Hase-Liu, Nicholas Triantafillou
In this paper, we present efficient algorithms for computing the number of points and the order of the Jacobian group of a superelliptic curve over finite fields of prime order p.…