39 citations · 39 across the 2 of their papers we have counts for
3 papers
math.NT2007
Ranks of elliptic curves over function fields
Alan G. B. Lauder
We present experimental evidence to support the widely held belief that one half of all elliptic curves have infinitely many rational points. The method used to gather this evidenc…
math.NT2006★ 39 cited
Counting points on varieties over finite fields of small characteristic
Alan G. B. Lauder, Daqing Wan
We present a deterministic polynomial time algorithm for computing the zeta function of an arbitrary variety of fixed dimension over a finite field of small characteristic. One con…
math.CO2000
Decomposition of polytopes and polynomials
S. Gao, A. G. B. Lauder
Motivated by a connection with the factorization of multivariate polynomials, we study integral convex polytopes and their integral decompositions in the sense of the Minkowski sum…