44 citations · 47 across the 3 of their papers we have counts for
3 papers
math.NT2018★ 1 cited
Fast Coefficient Computation for Algebraic Power Series in Positive Characteristic
Alin Bostan, Xavier Caruso, Gilles Christol +1
We revisit Christol's theorem on algebraic power series in positive characteristic and propose yet another proof for it. This new proof combines several ingredients and advantages…
cs.SC2016★ 2 cited
Fast Computation of the Nth Term of an Algebraic Series over a Finite Prime Field
Alin Bostan, Gilles Christol, Philippe Dumas
We address the question of computing one selected term of an algebraic power series. In characteristic zero, the best algorithm currently known for computing the th coefficient…
math-ph2012★ 44 cited
Ising n-fold integrals as diagonals of rational functions and integrality of series expansions
A. Bostan, S. Boukraa, G. Christol +2
We show that the n-fold integrals of the magnetic susceptibility of the Ising model, as well as various other n-fold integrals of the "Ising class", or n-fold integrals f…