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- Gleb Pogudin
- MACIS
- 2015

- Alexey Ovchinnikov, Gleb Pogudin, N. Thieu Vo
- ArXiv
- 2008

E↑ective di↑erential Nullstellensatz – page 1/19

- Manuel Kauers, Gleb Pogudin
- ArXiv
- 2017

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 annihilating operators for the compositions. We find that the analysis of removable singularities leads to an order-degree curve which is much more accurate than the order-degree curve… (More)

- Gleb Pogudin
- ArXiv
- 2017

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-density power series expansion requires heavy and nontrivial computations. Despite of the exponential computational complexity, we compute almost three times more terms than were… (More)

- Richard Gustavson, Alexey Ovchinnikov, Gleb Pogudin
- ISSAC
- 2016

We compute an upper bound for the orders of derivatives in the Rosenfeld-Grobner algorithm. This algorithm computes a regular decomposition of a radical differential ideal in the ring of differential polynomials over a differential field of characteristic zero with an arbitrary number of commuting derivations. This decomposition can then be used to test for… (More)

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