119 citations · 638 across the 44 of their papers we have counts for
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math.AC2015★ 8 cited
On bounds for the effective differential Nullstellensatz
Omar León Sánchez, Alexey Ovchinnikov
Understanding bounds for the effective differential Nullstellensatz is a central problem in differential algebraic geometry. Recently, several bounds have been obtained using Dicks…
math.AC2015★ 9 cited
Calculating differential Galois groups of parametrized differential equations, with applications to hypertranscendence
Charlotte Hardouin, Andrei Minchenko, Alexey Ovchinnikov
The main motivation of our work is to create an efficient algorithm that decides hypertranscendence of solutions of linear differential equations, via the parameterized differentia…