119 citations · 269 across the 38 of their papers we have counts for
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math.AG2017★ 13 cited
Effective difference elimination and Nullstellensatz
Alexey Ovchinnikov, Gleb Pogudin, Thomas Scanlon
We prove effective Nullstellensatz and elimination theorems for difference equations in sequence rings. More precisely, we compute an explicit function of geometric quantities asso…
cs.SC2017★ 2 cited
Power series expansions for the planar monomer-dimer problem
Gleb Pogudin
We compute the free energy of the planar monomer-dimer model. Unlike the classical planar dimer model, an exact solution is not known in this case. Even the computation of the low-…
cs.SC2017
Bounds for Substituting Algebraic Functions into D-finite Functions
Manuel Kauers, Gleb Pogudin
It is well known that the composition of a D-finite function with an algebraic function is again D-finite. We give the first estimates for the orders and the degrees of annihilatin…