Sergei A. Abramov

Orcid: 0000-0001-7745-5132

Affiliations:
  • Computing Centre of the Russian Academy of Sciences, Moscow, Russia


According to our database1, Sergei A. Abramov authored at least 109 papers between 1987 and 2023.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

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Bibliography

2023
Searching for Laurent Solutions of Systems of Linear Differential Equations with Truncated Power Series in the Role of Coefficients.
Program. Comput. Softw., October, 2023

The Fifth Conference "Computer Algebra" in Moscow.
ACM Commun. Comput. Algebra, June, 2023

Linear Difference Operators with Sequence Coefficients Having Infinite-Dimentional Solution Spaces.
ACM Commun. Comput. Algebra, March, 2023

On the dimension of the solution space of linear difference equations over the ring of infinite sequences.
CoRR, 2023

2022
Exhaustive Use of Information on an Equation with Truncated Coefficients.
Program. Comput. Softw., 2022

On Linear Dependence of Rows and Columns in Matrices over Non-commutative Domains.
Proceedings of the ISSAC '22: International Symposium on Symbolic and Algebraic Computation, Villeneuve-d'Ascq, France, July 4, 2022

On Truncated Series Involved in Exponential-Logarithmic Solutions of Truncated LODEs.
Proceedings of the Computer Algebra in Scientific Computing - 24th International Workshop, 2022

2021
Procedures for Constructing Truncated Solutions of Linear Differential Equations with Infinite and Truncated Power Series in the Role of Coefficients.
Program. Comput. Softw., 2021

On rational and hypergeometric solutions of linear ordinary difference equations in ΠΣ<sup>⁎</sup>-field extensions.
J. Symb. Comput., 2021

The fourth conference "computer algebra" in Moscow.
ACM Commun. Comput. Algebra, 2021

22nd Workshop on Computer Algebra in Memory of Professor Vladimir Gerdt in Dubna.
ACM Commun. Comput. Algebra, 2021

2020
Procedures for Searching Laurent and Regular Solutions of Linear Differential Equations with the Coefficients in the Form of Truncated Power Series.
Program. Comput. Softw., 2020

Convolutions of Liouvillian sequences.
J. Symb. Comput., 2020

On Rational and Hypergeometric Solutions of Linear Ordinary Difference Equations in $Π\mathbfΣ^*$-field extensions.
CoRR, 2020

Checkpoints in searching for rational solutions of linear ordinary difference and differential systems.
ACM Commun. Comput. Algebra, 2020

The TruncatedSeries Package for Solving Linear Ordinary Differential Equations Having Truncated Series Coefficients.
Proceedings of the Maple in Mathematics Education and Research - 4th Maple Conference, 2020

Truncated and Infinite Power Series in the Role of Coefficients of Linear Ordinary Differential Equations.
Proceedings of the Computer Algebra in Scientific Computing - 22nd International Workshop, 2020

2019
Package of Procedures for Inverting Matrices Whose Entries are Linear Difference Operators.
Program. Comput. Softw., 2019

The conference "computer algebra" in Moscow.
ACM Commun. Comput. Algebra, 2019

Row reduction process for matrices of scalar operators: storing the intermediate results of row transformation.
ACM Commun. Comput. Algebra, 2019

2018
Laurent, Rational, and Hypergeometric Solutions of Linear q-Difference Systems of Arbitrary Order with Polynomial Coefficients.
Program. Comput. Softw., 2018

Parametric study of the control system in the TCP network.
Proceedings of the 10th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops, 2018

On Unimodular Matrices of Difference Operators.
Proceedings of the Computer Algebra in Scientific Computing - 20th International Workshop, 2018

2017
Revealing matrices of linear differential systems of arbitrary order.
Program. Comput. Softw., 2017

On ramification indices of formal solutions of constructive linear ordinary differential systems.
J. Symb. Comput., 2017

The second conference "Computer Algebra" in Moscow.
ACM Commun. Comput. Algebra, 2017

Linear Differential Systems with Infinite Power Series Coefficients (Invited Talk).
Proceedings of the Computer Algebra in Scientific Computing - 19th International Workshop, 2017

2016
Procedures for searching local solutions of linear differential systems with infinite power series in the role of coefficients.
Program. Comput. Softw., 2016

The conference "computer algebra" in Moscow.
ACM Commun. Comput. Algebra, 2016

On the Differential and Full Algebraic Complexities of Operator Matrices Transformations.
Proceedings of the Computer Algebra in Scientific Computing - 18th International Workshop, 2016

2015
Search of rational solutions to differential and difference systems by means of formal series.
Program. Comput. Softw., 2015

On full rank differential systems with power series coefficients.
J. Symb. Comput., 2015

Hypergeometric Solutions of First-Order Linear Difference Systems with Rational-Function Coefficients.
Proceedings of the Computer Algebra in Scientific Computing - 17th International Workshop, 2015

2014
Regular solutions of linear differential systems with power series coefficients.
Program. Comput. Softw., 2014

On Solution Spaces of Products of Linear Differential or Difference Operators.
ACM Commun. Comput. Algebra, 2014

Computable Infinite Power Series in the Role of Coefficients of Linear Differential Systems.
Proceedings of the Computer Algebra in Scientific Computing - 16th International Workshop, 2014

2013
Linear differential and difference systems: EGδ- and EGσ- eliminations.
Program. Comput. Softw., 2013

Linear <i>q</i>-difference equations depending on a parameter.
J. Symb. Comput., 2013

On the Dimension of Solution Spaces of Full Rank Linear Differential Systems.
Proceedings of the Computer Algebra in Scientific Computing - 15th International Workshop, 2013

2012
Denominators of rational solutions of linear difference systems of an arbitrary order.
Program. Comput. Softw., 2012

On valuations of meromorphic solutions of arbitrary-order linear difference systems with polynomial coefficients.
Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2012

On Polynomial Solutions of Linear Partial Differential and (q-)Difference Equations.
Proceedings of the Computer Algebra in Scientific Computing - 14th International Workshop, 2012

2011
Rational solutions of linear difference equations: Universal denominators and denominator bounds.
Program. Comput. Softw., 2011

The research seminar on computer algebra in 2009-2010.
Program. Comput. Softw., 2011

Subanalytic solutions of linear difference equations and multidimensional hypergeometric sequences.
J. Symb. Comput., 2011

Valuations of rational solutions of linear difference equations at irreducible polynomials.
Adv. Appl. Math., 2011

Higher-Order Linear Differential Systems with Truncated Coefficients.
Proceedings of the Computer Algebra in Scientific Computing - 13th International Workshop, 2011

2010
The research seminar on computer Algebra in 2008-2009.
Program. Comput. Softw., 2010

On an undecidable problem related to difference equations with parameters.
Program. Comput. Softw., 2010

Polynomial ring automorphisms, rational (w, sigma)-canonical forms, and the assignment problem.
J. Symb. Comput., 2010

On some decidable and undecidable problems related to q-difference equations with parameters.
Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2010

Factorization of Polynomials and GCD Computations for Finding Universal Denominators.
Proceedings of the Computer Algebra in Scientific Computing - 12th International Workshop, 2010

2009
The research seminar on computer algebra in 2007-2008.
Program. Comput. Softw., 2009

D'Alembertian series solutions at ordinary points of LODE with polynomial coefficients.
J. Symb. Comput., 2009

On <i>m</i>-Interlacing Solutions of Linear Difference Equations.
Proceedings of the Computer Algebra in Scientific Computing, 11th International Workshop, 2009

2008
On a computer algebra technology.
Program. Comput. Softw., 2008

On the bottom summation.
Program. Comput. Softw., 2008

In memory of Engeny Vasil'evich Pankratiev (December 29, 1944-January 23, 2008).
Program. Comput. Softw., 2008

The research seminar on computer algebra in 2006-2007.
Program. Comput. Softw., 2008

Dimensions of solution spaces of H.
J. Symb. Comput., 2008

Power series and linear difference equations.
Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2008

2007
Improved universal denominators.
Program. Comput. Softw., 2007

The research seminar on computer algebra in 2005-2006.
Program. Comput. Softw., 2007

Analytic Solutions of Linear Difference Equations, Formal Series, and Bottom Summation.
Proceedings of the Computer Algebra in Scientific Computing, 10th International Workshop, 2007

2006
Solution spaces of <i>H</i>-systems and the Ore-Sato theorem (extended abstract).
Program. Comput. Softw., 2006

The research seminar on computer algebra in 2004-2005.
Program. Comput. Softw., 2006

In memory of Manuel Bronstein.
Program. Comput. Softw., 2006

Apparent singularities of linear difference equations with polynomial coefficients.
Appl. Algebra Eng. Commun. Comput., 2006

On the summation of P-recursive sequences.
Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2006

2005
The research seminar on computer algebra in 2003-2004.
Program. Comput. Softw., 2005

On the order of the recurrence produced by the method of creative telescoping.
Discret. Math., 2005

Gosper's algorithm, accurate summation, and the discrete Newton-Leibniz formula.
Proceedings of the Symbolic and Algebraic Computation, 2005

On Regular and Logarithmic Solutions of Ordinary Linear Differential Systems.
Proceedings of the Computer Algebra in Scientific Computing, 8th International Workshop, 2005

2004
Sparse Power Series and Parameterized Linear Operators.
Program. Comput. Softw., 2004

The Research Seminar on Computer Algebra in 2002-2003.
Program. Comput. Softw., 2004

Erratum to "Rational normal forms and minimal decompositions of hypergeometric terms" [J. Symbolic Comput 33 (2002) 521-543].
J. Symb. Comput., 2004

Telescoping in the context of symbolic summation in Maple.
J. Symb. Comput., 2004

2003
The Scientific Research Seminar on Computer Algebra in 2001-2002.
Program. Comput. Softw., 2003

When does Zeilberger's algorithm succeed?
Adv. Appl. Math., 2003

Rational canonical forms and efficient representations of hypergeometric terms.
Proceedings of the Symbolic and Algebraic Computation, 2003

2002
The Scientific Research Seminar on Computer Algebra in 2000-2001.
Program. Comput. Softw., 2002

Rational Normal Forms and Minimal Decompositions of Hypergeometric Terms.
J. Symb. Comput., 2002

A criterion for the applicability of Zeilberger's algorithm to rational functions .
Discret. Math., 2002

A direct algorithm to compute rational solutions of first order linear <i>q</i>-difference systems.
Discret. Math., 2002

On the structure of multivariate hypergeometric terms.
Adv. Appl. Math., 2002

Applicability of Zeilberger's algorithm to hypergeometric terms.
Proceedings of the Symbolic and Algebraic Computation, 2002

2001
The Scientific Research Seminar on Computer Algebra in 1999-2000.
Program. Comput. Softw., 2001

Minimal decomposition of indefinite hypergeometric sums.
Proceedings of the 2001 International Symposium on Symbolic and Algebraic Computation, 2001

On solutions of linear functional systems.
Proceedings of the 2001 International Symposium on Symbolic and Algebraic Computation, 2001

2000
The scientific research Seminar on Computer Algebra in 1998-1999.
Program. Comput. Softw., 2000

Special formal series solutions of linear operator equations.
Discret. Math., 2000

<i>m</i>-Sparse solutions of linear ordinary differential equations with polynomial coefficients.
Discret. Math., 2000

Eventually rational and m-sparse points of linear ordinary differential operators with polynomial coefficients.
Discret. Math., 2000

A note on the number of division steps in the Euclidean algorithm.
SIGSAM Bull., 2000

Hypergeometric dispersion and the orbit problem.
Proceedings of the 2000 International Symposium on Symbolic and Algebraic Computation, 2000

1999
Desingularization of Linear Difference Operators with Polynomial Coefficients.
Proceedings of the 1999 International Symposium on Symbolic and Algebraic Computation, 1999

1998
q-Hypergeometric solutions of q-difference equations.
Discret. Math., 1998

Rational Solutions of First Order Linear Difference Systems.
Proceedings of the 1998 International Symposium on Symbolic and Algebraic Computation, 1998

1997
Minimal Completely Factorable Annihilators.
Proceedings of the 1997 International Symposium on Symbolic and Algebraic Computation, 1997

A Method for the Integration of Solutions of Ore Equations.
Proceedings of the 1997 International Symposium on Symbolic and Algebraic Computation, 1997

1996
D'Alembertian Solutions of Inhomogeneous Linear Equations (differential, difference, and some other).
Proceedings of the 1996 International Symposium on Symbolic and Algebraic Computation, 1996

1995
On Polynomial Solutions of Linear Operator Equations.
Proceedings of the 1995 International Symposium on Symbolic and Algebraic Computation, 1995

Indefinite Sums of Rational Functions.
Proceedings of the 1995 International Symposium on Symbolic and Algebraic Computation, 1995

Rational Solutions of linear Difference and <i>q</i>-Difference Equations with Polynomial Coefficients.
Proceedings of the 1995 International Symposium on Symbolic and Algebraic Computation, 1995

1994
D'Alembertian Solutions of Linear Differential and Difference Equations.
Proceedings of the International Symposium on Symbolic and Algebraic Computation, 1994

1993
On the Greatest Common Divisor of Polynomials which Depend on a Parameter.
Proceedings of the 1993 International Symposium on Symbolic and Algebraic Computation, 1993

On d'Alembert Substitution.
Proceedings of the 1993 International Symposium on Symbolic and Algebraic Computation, 1993

1991
Fast Algorithms to Search for the Rational Solutions of Linear Differential Equations with Polynomial Coefficients.
Proceedings of the 1991 International Symposium on Symbolic and Algebraic Computation, 1991

1987
Some algorithms of rational function algebra.
Proceedings of the EUROCAL '87, 1987


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