Sergei A. Abramov

ORCID

Publication Activity (10 Years)

Years Active: 1987-2023
Publications (10 Years): 30

Top Venues

ACM Commun. Comput. Algebra

Program. Comput. Softw.

CASC

CoRR

Publications

Sergei A. Abramov, Gleb Pogudin
Linear difference operators with sequence coefficients having infinite-dimentional solution spaces. CoRR (2023)
Sergei A. Abramov, Alexander B. Batkhin, Anna A. Ryabenko, Leonid A. Sevastianov, Yvette Zonn, Min Wu
The Fifth Conference "Computer Algebra" in Moscow. ACM Commun. Comput. Algebra 57 (2) (2023)
Sergei A. Abramov, Gleb Pogudin
On the dimension of the solution space of linear difference equations over the ring of infinite sequences. CoRR (2023)
Sergei A. Abramov, Marko Petkovsek, Anna A. Ryabenko
On Systems of Linear Homogeneous Algebraic Equations over Truncated Formal Series. SYNASC (2023)
Sergei A. Abramov, Gleb Pogudin
Linear Difference Operators with Sequence Coefficients Having Infinite-Dimentional Solution Spaces. ACM Commun. Comput. Algebra 57 (1) (2023)
Sergei A. Abramov, Anna A. Ryabenko, Denis E. Khmelnov
Searching for Laurent Solutions of Systems of Linear Differential Equations with Truncated Power Series in the Role of Coefficients. Program. Comput. Softw. 49 (5) (2023)
Sergei A. Abramov, Marko Petkovsek, Anna A. Ryabenko
On Linear Dependence of Rows and Columns in Matrices over Non-commutative Domains. ISSAC (2022)
Sergei A. Abramov, Anna A. Ryabenko, Denis E. Khmelnov
Exhaustive Use of Information on an Equation with Truncated Coefficients. Program. Comput. Softw. 48 (2) (2022)
Sergei A. Abramov, Denis E. Khmelnov, Anna A. Ryabenko
On Truncated Series Involved in Exponential-Logarithmic Solutions of Truncated LODEs. CASC (2022)
Sergei A. Abramov, Alla A. Bogolubskaya
22nd Workshop on Computer Algebra in Memory of Professor Vladimir Gerdt in Dubna. ACM Commun. Comput. Algebra 55 (2) (2021)
Sergei A. Abramov, Anna A. Ryabenko, Leonid A. Sevastianov, Yvette Zonn, Min Wu
The fourth conference "computer algebra" in Moscow. ACM Commun. Comput. Algebra 55 (2) (2021)
Sergei A. Abramov, Manuel Bronstein, Marko Petkovsek, Carsten Schneider
-field extensions. J. Symb. Comput. 107 (2021)
Sergei A. Abramov, Manuel Bronstein, Marko Petkovsek, Carsten Schneider
On Rational and Hypergeometric Solutions of Linear Ordinary Difference Equations in $Π\mathbfΣ^*$-field extensions. CoRR (2020)
Sergei A. Abramov, Anna A. Ryabenko, Denis E. Khmelnov
Procedures for Searching Laurent and Regular Solutions of Linear Differential Equations with the Coefficients in the Form of Truncated Power Series. Program. Comput. Softw. 46 (2) (2020)
Sergei A. Abramov, Marko Petkovsek, Helena Zakrajsek
Convolutions of Liouvillian sequences. J. Symb. Comput. 101 (2020)
Sergei A. Abramov, Denis E. Khmelnov, Anna A. Ryabenko
Truncated and Infinite Power Series in the Role of Coefficients of Linear Ordinary Differential Equations. CASC (2020)
Sergei A. Abramov, Denis E. Khmelnov, Anna A. Ryabenko
Checkpoints in searching for rational solutions of linear ordinary difference and differential systems. ACM Commun. Comput. Algebra 54 (2) (2020)
Sergei A. Abramov, Denis E. Khmelnov
Package of Procedures for Inverting Matrices Whose Entries are Linear Difference Operators. Program. Comput. Softw. 45 (5) (2019)
Sergei A. Abramov, Moulay A. Barkatou
Row reduction process for matrices of scalar operators: storing the intermediate results of row transformation. ACM Commun. Comput. Algebra 53 (1) (2019)
Sergei A. Abramov, Anna A. Ryabenko, Leonid A. Sevastianov, Min Wu, Yvette Zonn
The conference "computer algebra" in Moscow. ACM Commun. Comput. Algebra 53 (2) (2019)
Sergei A. Abramov, Anna A. Ryabenko, Denis E. Khmelnov
Laurent, Rational, and Hypergeometric Solutions of Linear q-Difference Systems of Arbitrary Order with Polynomial Coefficients. Program. Comput. Softw. 44 (2) (2018)
Sergei A. Abramov, Denis E. Khmelnov
On Unimodular Matrices of Difference Operators. CASC (2018)
Sergei A. Abramov, Marko Petkovsek, Helena Zakrajsek
Convolutions of Liouvillian Sequences. CoRR (2018)
Sergei A. Abramov
Linear Differential Systems with Infinite Power Series Coefficients (Invited Talk). CASC (2017)
Sergei A. Abramov
On ramification indices of formal solutions of constructive linear ordinary differential systems. J. Symb. Comput. 79 (2017)
Sergei A. Abramov, Anna A. Ryabenko, Timur M. Sadykov
The second conference "Computer Algebra" in Moscow. ACM Commun. Comput. Algebra 51 (4) (2017)
Sergei A. Abramov, Anna A. Ryabenko, Denis E. Khmelnov
Revealing matrices of linear differential systems of arbitrary order. Program. Comput. Softw. 43 (2) (2017)
Sergei A. Abramov, Anna A. Ryabenko, Denis E. Khmelnov
Procedures for searching local solutions of linear differential systems with infinite power series in the role of coefficients. Program. Comput. Softw. 42 (2) (2016)
Sergei A. Abramov, Leonid A. Sevastianov
The conference "computer algebra" in Moscow. ACM Commun. Comput. Algebra 50 (2) (2016)
Sergei A. Abramov
On the Differential and Full Algebraic Complexities of Operator Matrices Transformations. CASC (2016)
Sergei A. Abramov
Search of rational solutions to differential and difference systems by means of formal series. Program. Comput. Softw. 41 (2) (2015)
Sergei A. Abramov, Moulay A. Barkatou, Denis E. Khmelnov
On full rank differential systems with power series coefficients. J. Symb. Comput. 68 (2015)
Sergei A. Abramov, Marko Petkovsek, Anna A. Ryabenko
Hypergeometric Solutions of First-Order Linear Difference Systems with Rational-Function Coefficients. CASC (2015)
Sergei A. Abramov, Denis E. Khmelnov
Regular solutions of linear differential systems with power series coefficients. Program. Comput. Softw. 40 (2) (2014)
Sergei A. Abramov, Moulay A. Barkatou
Computable Infinite Power Series in the Role of Coefficients of Linear Differential Systems. CASC (2014)
Sergei A. Abramov, Moulay A. Barkatou
On Solution Spaces of Products of Linear Differential or Difference Operators. ACM Commun. Comput. Algebra 48 (3/4) (2014)
Sergei A. Abramov, Denis E. Khmelnov
Linear differential and difference systems: EGδ- and EGσ- eliminations. Program. Comput. Softw. 39 (2) (2013)
Sergei A. Abramov, Moulay A. Barkatou
On the Dimension of Solution Spaces of Full Rank Linear Differential Systems. CASC (2013)
Sergei A. Abramov, Anna A. Ryabenko
-difference equations depending on a parameter. J. Symb. Comput. 49 (2013)
Sergei A. Abramov, Denis E. Khmelnov
Denominators of rational solutions of linear difference systems of an arbitrary order. Program. Comput. Softw. 38 (2) (2012)
Sergei A. Abramov, Denis E. Khmelnov
On valuations of meromorphic solutions of arbitrary-order linear difference systems with polynomial coefficients. ISSAC (2012)
Sergei A. Abramov, Marko Petkovsek
On Polynomial Solutions of Linear Partial Differential and (q-)Difference Equations. CASC (2012)
Sergei A. Abramov, Amal Gheffar, Denis E. Khmelnov
Rational solutions of linear difference equations: Universal denominators and denominator bounds. Program. Comput. Softw. 37 (2) (2011)
Sergei A. Abramov, Moulay A. Barkatou, Mark van Hoeij, Marko Petkovsek
Subanalytic solutions of linear difference equations and multidimensional hypergeometric sequences. J. Symb. Comput. 46 (11) (2011)
Sergei A. Abramov, Moulay A. Barkatou, Eckhard Pflügel
Higher-Order Linear Differential Systems with Truncated Coefficients. CASC (2011)
Amal Gheffar, Sergei A. Abramov
Valuations of rational solutions of linear difference equations at irreducible polynomials. Adv. Appl. Math. 47 (2) (2011)
Sergei A. Abramov, Alla A. Bogolyubskaya, Victor F. Edneral, Vitaly Rostovtsev
The research seminar on computer algebra in 2009-2010. Program. Comput. Softw. 37 (2) (2011)
Sergei A. Abramov
On an undecidable problem related to difference equations with parameters. Program. Comput. Softw. 36 (2) (2010)
Sergei A. Abramov
On some decidable and undecidable problems related to q-difference equations with parameters. ISSAC (2010)
Sergei A. Abramov, Marko Petkovsek
Polynomial ring automorphisms, rational (w, sigma)-canonical forms, and the assignment problem. J. Symb. Comput. 45 (6) (2010)
Sergei A. Abramov, Alla A. Bogolyubskaya, V. A. Rostovtsev, Victor F. Edneral
The research seminar on computer Algebra in 2008-2009. Program. Comput. Softw. 36 (2) (2010)
Sergei A. Abramov, Amal Gheffar, Denis E. Khmelnov
Factorization of Polynomials and GCD Computations for Finding Universal Denominators. CASC (2010)
Sergei A. Abramov, Moulay A. Barkatou, Denis E. Khmelnov
-Interlacing Solutions of Linear Difference Equations. CASC (2009)
Sergei A. Abramov, Alla A. Bogolubskaya, V. A. Rostovtsev, Victor F. Edneral
The research seminar on computer algebra in 2007-2008. Program. Comput. Softw. 35 (2) (2009)
Sergei A. Abramov, Moulay A. Barkatou
D'Alembertian series solutions at ordinary points of LODE with polynomial coefficients. J. Symb. Comput. 44 (1) (2009)
Sergei A. Abramov
Power series and linear difference equations. ISSAC (2008)
Sergei A. Abramov, Marko Petkovsek
On the bottom summation. Program. Comput. Softw. 34 (4) (2008)
Sergei A. Abramov, Marko Petkovsek
Dimensions of solution spaces of H. J. Symb. Comput. 43 (5) (2008)
Sergei A. Abramov, Marina V. Kondratieva, V. N. Latyshev, A. V. Mikhalev
In memory of Engeny Vasil'evich Pankratiev (December 29, 1944-January 23, 2008). Program. Comput. Softw. 34 (4) (2008)
Sergei A. Abramov, Anna A. Ryabenko
On a computer algebra technology. Program. Comput. Softw. 34 (2) (2008)
Sergei A. Abramov, Alla A. Bogolubskaya, V. A. Rostovtsev, Victor F. Edneral
The research seminar on computer algebra in 2006-2007. Program. Comput. Softw. 34 (2) (2008)
Sergei A. Abramov, S. P. Polyakov
Improved universal denominators. Program. Comput. Softw. 33 (3) (2007)
Sergei A. Abramov, Marko Petkovsek
Analytic Solutions of Linear Difference Equations, Formal Series, and Bottom Summation. CASC (2007)
Sergei A. Abramov, Alla A. Bogolubskaya, Vitaly Rostovtsev, Victor F. Edneral
The research seminar on computer algebra in 2005-2006. Program. Comput. Softw. 33 (2) (2007)
Sergei A. Abramov, Alla A. Bogolubskaya, V. A. Rostovtsev, Victor F. Edneral
The research seminar on computer algebra in 2004-2005. Program. Comput. Softw. 32 (2) (2006)
Sergei A. Abramov, Moulay A. Barkatou, Mark van Hoeij
Apparent singularities of linear difference equations with polynomial coefficients. Appl. Algebra Eng. Commun. Comput. 17 (2) (2006)
Sergei A. Abramov
In memory of Manuel Bronstein. Program. Comput. Softw. 32 (1) (2006)
Sergei A. Abramov, Marko Petkovsek
-systems and the Ore-Sato theorem (extended abstract). Program. Comput. Softw. 32 (2) (2006)
Sergei A. Abramov
On the summation of P-recursive sequences. ISSAC (2006)
Sergei A. Abramov, M. Petkovssek
Gosper's algorithm, accurate summation, and the discrete Newton-Leibniz formula. ISSAC (2005)
Sergei A. Abramov, Ha Q. Le
On the order of the recurrence produced by the method of creative telescoping. Discret. Math. 298 (1-3) (2005)
Sergei A. Abramov, Manuel Bronstein, Denis E. Khmelnov
On Regular and Logarithmic Solutions of Ordinary Linear Differential Systems. CASC (2005)
Sergei A. Abramov, Alla A. Bogolubskaya, V. A. Rostovtsev, Victor F. Edneral
The research seminar on computer algebra in 2003-2004. Program. Comput. Softw. 31 (2) (2005)
Sergei A. Abramov, Anna A. Ryabenko
Sparse Power Series and Parameterized Linear Operators. Program. Comput. Softw. 30 (2) (2004)
Sergei A. Abramov, Jacques Carette, Keith O. Geddes, Ha Q. Le
Telescoping in the context of symbolic summation in Maple. J. Symb. Comput. 38 (4) (2004)
Sergei A. Abramov, Victor F. Edneral, V. A. Rostovtsev
The Research Seminar on Computer Algebra in 2002-2003. Program. Comput. Softw. 30 (2) (2004)
Sergei A. Abramov, Marko Petkovsek
Erratum to "Rational normal forms and minimal decompositions of hypergeometric terms" [J. Symbolic Comput 33 (2002) 521-543]. J. Symb. Comput. 38 (3) (2004)
Sergei A. Abramov
When does Zeilberger's algorithm succeed? Adv. Appl. Math. 30 (3) (2003)
Sergei A. Abramov, Alexander P. Kryukov, V. A. Rostovtsev
The Scientific Research Seminar on Computer Algebra in 2001-2002. Program. Comput. Softw. 29 (2) (2003)
Sergei A. Abramov, Ha Q. Le, Marko Petkovsek
Rational canonical forms and efficient representations of hypergeometric terms. ISSAC (2003)
Sergei A. Abramov, Marko Petkovsek
On the structure of multivariate hypergeometric terms. Adv. Appl. Math. 29 (3) (2002)
Sergei A. Abramov, Marko Petkovsek
Rational Normal Forms and Minimal Decompositions of Hypergeometric Terms. J. Symb. Comput. 33 (5) (2002)
Sergei A. Abramov
Applicability of Zeilberger's algorithm to hypergeometric terms. ISSAC (2002)
Sergei A. Abramov
-difference systems. Discret. Math. 246 (1-3) (2002)
Sergei A. Abramov, Ha Q. Le
A criterion for the applicability of Zeilberger's algorithm to rational functions . Discret. Math. 259 (1-3) (2002)
Sergei A. Abramov, Alexander P. Kryukov, V. A. Rostovtsev
The Scientific Research Seminar on Computer Algebra in 2000-2001. Program. Comput. Softw. 28 (2) (2002)
Sergei A. Abramov, Alexander P. Kryukov, V. A. Rostovtsev
The Scientific Research Seminar on Computer Algebra in 1999-2000. Program. Comput. Softw. 27 (1) (2001)
Sergei A. Abramov, Manuel Bronstein
On solutions of linear functional systems. ISSAC (2001)
Sergei A. Abramov, Marko Petkovsek
Minimal decomposition of indefinite hypergeometric sums. ISSAC (2001)
Sergei A. Abramov, Manuel Bronstein
Hypergeometric dispersion and the orbit problem. ISSAC (2000)
Sergei A. Abramov
-Sparse solutions of linear ordinary differential equations with polynomial coefficients. Discret. Math. 217 (1-3) (2000)
Sergei A. Abramov, Marko Petkovsek, Anna A. Ryabenko
Special formal series solutions of linear operator equations. Discret. Math. 210 (1-3) (2000)
Sergei A. Abramov, Alexander P. Kryukov, Vitaly Rostovtsev
The scientific research Seminar on Computer Algebra in 1998-1999. Program. Comput. Softw. 26 (1) (2000)
Sergei A. Abramov
A note on the number of division steps in the Euclidean algorithm. SIGSAM Bull. 34 (4) (2000)
Sergei A. Abramov
Eventually rational and m-sparse points of linear ordinary differential operators with polynomial coefficients. Discret. Math. 225 (1-3) (2000)
Sergei A. Abramov, Mark van Hoeij
Desingularization of Linear Difference Operators with Polynomial Coefficients. ISSAC (1999)
Sergei A. Abramov, Moulay A. Barkatou
Rational Solutions of First Order Linear Difference Systems. ISSAC (1998)
Sergei A. Abramov, Peter Paule, Marko Petkovsek
q-Hypergeometric solutions of q-difference equations. Discret. Math. 180 (1-3) (1998)
Sergei A. Abramov, Eugene V. Zima
Minimal Completely Factorable Annihilators. ISSAC (1997)
Sergei A. Abramov, Mark van Hoeij
A Method for the Integration of Solutions of Ore Equations. ISSAC (1997)

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Publication Activity (10 Years)

Top Topics

Top Venues

Sergei A. Abramov