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ORCIDSergei A. Abramov
Sergey A. Abramov
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- affiliation: Computing Centre of the Russian Academy of Sciences, Moscow, Russia
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2020 – today
- 2025
[j68]Sergei A. Abramov, Gleb Pogudin:
On the dimension of the solution space of linear difference equations over the ring of infinite sequences. J. Symb. Comput. 127: 102350 (2025)- 2023
- [j67]Sergei A. Abramov, Gleb Pogudin:
Linear Difference Operators with Sequence Coefficients Having Infinite-Dimentional Solution Spaces. ACM Commun. Comput. Algebra 57(1): 1-4 (2023) - [j66]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): 72-84 (2023) - [j65]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): 401-411 (2023) - [c41]Sergei A. Abramov, Marko Petkovsek, Anna A. Ryabenko:
On Systems of Linear Homogeneous Algebraic Equations over Truncated Formal Series. SYNASC 2023: 40-43 - [i4]Sergei A. Abramov, Gleb Pogudin:
Linear difference operators with sequence coefficients having infinite-dimentional solution spaces. CoRR abs/2311.02217 (2023) - [i3]Sergei A. Abramov, Gleb Pogudin:
On the dimension of the solution space of linear difference equations over the ring of infinite sequences. CoRR abs/2311.02219 (2023) - 2022
- [j64]Sergei A. Abramov
, Anna A. Ryabenko, Denis E. Khmelnov:
Exhaustive Use of Information on an Equation with Truncated Coefficients. Program. Comput. Softw. 48(2): 116-124 (2022) - [c40]Sergei A. Abramov, Denis E. Khmelnov, Anna A. Ryabenko:
On Truncated Series Involved in Exponential-Logarithmic Solutions of Truncated LODEs. CASC 2022: 18-28 - [c39]Sergei A. Abramov, Marko Petkovsek, Anna A. Ryabenko:
On Linear Dependence of Rows and Columns in Matrices over Non-commutative Domains. ISSAC 2022: 39-43 - 2021
- [j63]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): 21-29 (2021) - [j62]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): 30-38 (2021) - [j61]Sergei A. Abramov, Manuel Bronstein, Marko Petkovsek, Carsten Schneider:
On rational and hypergeometric solutions of linear ordinary difference equations in ΠΣ⁎-field extensions. J. Symb. Comput. 107: 23-66 (2021) - [j60]Sergey A. Abramov, Anna A. Ryabenko, Denis E. Khmelnov:
Procedures for Constructing Truncated Solutions of Linear Differential Equations with Infinite and Truncated Power Series in the Role of Coefficients. Program. Comput. Softw. 47(2): 144-152 (2021) - 2020
- [j59]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): 18-29 (2020) - [j58]Sergei A. Abramov, Marko Petkovsek, Helena Zakrajsek:
Convolutions of Liouvillian sequences. J. Symb. Comput. 101: 73-89 (2020) - [j57]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): 67-75 (2020) - [c38]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: 63-76 - [c37]Sergey A. Abramov, Denis E. Khmelnov, Anna A. Ryabenko:
The TruncatedSeries Package for Solving Linear Ordinary Differential Equations Having Truncated Series Coefficients. MC 2020: 19-33 - [i2]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 abs/2005.04944 (2020)
2010 – 2019
- 2019
- [j56]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): 23-30 (2019) - [j55]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): 65-77 (2019) - [j54]Sergei A. Abramov, Denis E. Khmelnov:
Package of Procedures for Inverting Matrices Whose Entries are Linear Difference Operators. Program. Comput. Softw. 45(5): 288-297 (2019) - 2018
- [j53]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): 120-130 (2018) - [c36]Sergei A. Abramov, Denis E. Khmelnov:
On Unimodular Matrices of Difference Operators. CASC 2018: 18-31 - [c35]Tatyana R. Velieva, Anna V. Korolkova, Dmitry S. Kulyabov, Sergey A. Abramov:
Parametric study of the control system in the TCP network. ICUMT 2018: 1-6 - [i1]Sergei A. Abramov, Marko Petkovsek, Helena Zakrajsek:
Convolutions of Liouvillian Sequences. CoRR abs/1803.08747 (2018) - 2017
- [j52]Sergei A. Abramov, Anna A. Ryabenko, Timur M. Sadykov:
The second conference "Computer Algebra" in Moscow. ACM Commun. Comput. Algebra 51(4): 103-110 (2017) - [j51]Sergei A. Abramov:
On ramification indices of formal solutions of constructive linear ordinary differential systems. J. Symb. Comput. 79: 475-481 (2017) - [j50]Sergei A. Abramov, Anna A. Ryabenko, Denis E. Khmelnov:
Revealing matrices of linear differential systems of arbitrary order. Program. Comput. Softw. 43(2): 67-74 (2017) - [c34]Sergei A. Abramov:
Linear Differential Systems with Infinite Power Series Coefficients (Invited Talk). CASC 2017: 1-15 - 2016
- [j49]Sergei A. Abramov, Leonid A. Sevastianov:
The conference "computer algebra" in Moscow. ACM Commun. Comput. Algebra 50(2): 61-68 (2016) - [j48]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): 55-64 (2016) - [c33]Sergei A. Abramov:
On the Differential and Full Algebraic Complexities of Operator Matrices Transformations. CASC 2016: 1-14 - [e1]Sergei A. Abramov, Eugene V. Zima, Xiao-Shan Gao:
Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation, ISSAC 2016, Waterloo, ON, Canada, July 19-22, 2016. ACM 2016, ISBN 978-1-4503-4380-0 [contents] - 2015
- [j47]Sergei A. Abramov, Moulay A. Barkatou, Denis E. Khmelnov:
On full rank differential systems with power series coefficients. J. Symb. Comput. 68: 120-137 (2015) - [j46]Sergei A. Abramov:
Search of rational solutions to differential and difference systems by means of formal series. Program. Comput. Softw. 41(2): 65-73 (2015) - [c32]Sergei A. Abramov, Marko Petkovsek, Anna A. Ryabenko:
Hypergeometric Solutions of First-Order Linear Difference Systems with Rational-Function Coefficients. CASC 2015: 1-14 - 2014
- [j45]Sergei A. Abramov, Moulay A. Barkatou:
On Solution Spaces of Products of Linear Differential or Difference Operators. ACM Commun. Comput. Algebra 48(3/4): 155-165 (2014) - [j44]Sergei A. Abramov, Denis E. Khmelnov:
Regular solutions of linear differential systems with power series coefficients. Program. Comput. Softw. 40(2): 98-106 (2014) - [c31]Sergei A. Abramov, Moulay A. Barkatou:
Computable Infinite Power Series in the Role of Coefficients of Linear Differential Systems. CASC 2014: 1-12 - 2013
- [j43]Sergei A. Abramov, Anna A. Ryabenko:
Linear q-difference equations depending on a parameter. J. Symb. Comput. 49: 65-77 (2013) - [j42]Sergei A. Abramov, Denis E. Khmelnov:
Linear differential and difference systems: EGδ- and EGσ- eliminations. Program. Comput. Softw. 39(2): 91-109 (2013) - [c30]Sergei A. Abramov, Moulay A. Barkatou:
On the Dimension of Solution Spaces of Full Rank Linear Differential Systems. CASC 2013: 1-9 - 2012
- [j41]Sergei A. Abramov, Denis E. Khmelnov:
Denominators of rational solutions of linear difference systems of an arbitrary order. Program. Comput. Softw. 38(2): 84-91 (2012) - [c29]Sergei A. Abramov, Marko Petkovsek:
On Polynomial Solutions of Linear Partial Differential and (q-)Difference Equations. CASC 2012: 1-11 - [c28]Sergei A. Abramov, Denis E. Khmelnov:
On valuations of meromorphic solutions of arbitrary-order linear difference systems with polynomial coefficients. ISSAC 2012: 12-19 - 2011
- [j40]Amal Gheffar, Sergei A. Abramov:
Valuations of rational solutions of linear difference equations at irreducible polynomials. Adv. Appl. Math. 47(2): 352-364 (2011) - [j39]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): 1205-1228 (2011) - [j38]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): 57-61 (2011) - [j37]Sergei A. Abramov, Amal Gheffar, Denis E. Khmelnov:
Rational solutions of linear difference equations: Universal denominators and denominator bounds. Program. Comput. Softw. 37(2): 78-86 (2011) - [c27]Sergei A. Abramov, Moulay A. Barkatou, Eckhard Pflügel:
Higher-Order Linear Differential Systems with Truncated Coefficients. CASC 2011: 10-24 - 2010
- [j36]Sergei A. Abramov, Marko Petkovsek:
Polynomial ring automorphisms, rational (w, sigma)-canonical forms, and the assignment problem. J. Symb. Comput. 45(6): 684-708 (2010) - [j35]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): 59-62 (2010) - [j34]Sergei A. Abramov:
On an undecidable problem related to difference equations with parameters. Program. Comput. Softw. 36(2): 63-67 (2010) - [c26]Sergei A. Abramov, Amal Gheffar, Denis E. Khmelnov:
Factorization of Polynomials and GCD Computations for Finding Universal Denominators. CASC 2010: 4-18 - [c25]Sergei A. Abramov:
On some decidable and undecidable problems related to q-difference equations with parameters. ISSAC 2010: 311-317
2000 – 2009
- 2009
- [j33]Sergei A. Abramov, Moulay A. Barkatou:
D'Alembertian series solutions at ordinary points of LODE with polynomial coefficients. J. Symb. Comput. 44(1): 48-59 (2009) - [j32]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): 57-62 (2009) - [c24]Sergei A. Abramov, Moulay A. Barkatou, Denis E. Khmelnov:
On m-Interlacing Solutions of Linear Difference Equations. CASC 2009: 1-17 - 2008
- [j31]Sergei A. Abramov, Marko Petkovsek:
Dimensions of solution spaces of H. J. Symb. Comput. 43(5): 377-394 (2008) - [j30]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): 59-63 (2008) - [j29]Sergei A. Abramov, Anna A. Ryabenko:
On a computer algebra technology. Program. Comput. Softw. 34(2): 64-68 (2008) - [j28]Sergei A. Abramov, Marko Petkovsek:
On the bottom summation. Program. Comput. Softw. 34(4): 187-190 (2008) - [j27]Sergei A. Abramov, Marina V. Kondratieva, V. N. Latyshev, Alexander V. Mikhalev:
In memory of Engeny Vasil'evich Pankratiev (December 29, 1944-January 23, 2008). Program. Comput. Softw. 34(4): 242-243 (2008) - [c23]Sergei A. Abramov:
Power series and linear difference equations. ISSAC 2008: 1-2 - 2007
- [j26]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): 55-59 (2007) - [j25]Sergei A. Abramov, S. P. Polyakov:
Improved universal denominators. Program. Comput. Softw. 33(3): 132-138 (2007) - [c22]Sergei A. Abramov, Marko Petkovsek:
Analytic Solutions of Linear Difference Equations, Formal Series, and Bottom Summation. CASC 2007: 1-10 - 2006
- [j24]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): 117-133 (2006) - [j23]Sergei A. Abramov:
In memory of Manuel Bronstein. Program. Comput. Softw. 32(1): 56-58 (2006) - [j22]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): 61-64 (2006) - [j21]Sergei A. Abramov, Marko Petkovsek:
Solution spaces of H-systems and the Ore-Sato theorem (extended abstract). Program. Comput. Softw. 32(2): 118-119 (2006) - [c21]Sergei A. Abramov:
On the summation of P-recursive sequences. ISSAC 2006: 17-22 - 2005
- [j20]Sergei A. Abramov, Ha Q. Le:
On the order of the recurrence produced by the method of creative telescoping. Discret. Math. 298(1-3): 2-17 (2005) - [j19]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): 51-55 (2005) - [c20]Sergei A. Abramov, Manuel Bronstein, Denis E. Khmelnov:
On Regular and Logarithmic Solutions of Ordinary Linear Differential Systems. CASC 2005: 1-12 - [c19]Sergei A. Abramov, M. Petkovssek:
Gosper's algorithm, accurate summation, and the discrete Newton-Leibniz formula. ISSAC 2005: 5-12 - 2004
- [j18]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): 1165 (2004) - [j17]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): 1303-1326 (2004) - [j16]Sergei A. Abramov, Victor F. Edneral, V. A. Rostovtsev:
The Research Seminar on Computer Algebra in 2002-2003. Program. Comput. Softw. 30(2): 57-60 (2004) - [j15]Sergei A. Abramov, Anna A. Ryabenko:
Sparse Power Series and Parameterized Linear Operators. Program. Comput. Softw. 30(2): 83-87 (2004) - 2003
- [j14]Sergei A. Abramov:
When does Zeilberger's algorithm succeed? Adv. Appl. Math. 30(3): 424-441 (2003) - [j13]Sergei A. Abramov, Alexander P. Kryukov, V. A. Rostovtsev:
The Scientific Research Seminar on Computer Algebra in 2001-2002. Program. Comput. Softw. 29(2): 55-58 (2003) - [c18]Sergei A. Abramov, Ha Q. Le, Marko Petkovsek:
Rational canonical forms and efficient representations of hypergeometric terms. ISSAC 2003: 7-14 - 2002
- [j12]Sergei A. Abramov, Marko Petkovsek:
On the structure of multivariate hypergeometric terms. Adv. Appl. Math. 29(3): 386-411 (2002) - [j11]Sergei A. Abramov:
A direct algorithm to compute rational solutions of first order linear q-difference systems. Discret. Math. 246(1-3): 3-12 (2002) - [j10]Sergei A. Abramov, Ha Q. Le:
A criterion for the applicability of Zeilberger's algorithm to rational functions . Discret. Math. 259(1-3): 1-17 (2002) - [j9]Sergei A. Abramov, Marko Petkovsek:
Rational Normal Forms and Minimal Decompositions of Hypergeometric Terms. J. Symb. Comput. 33(5): 521-543 (2002) - [j8]Sergei A. Abramov, Alexander P. Kryukov, V. A. Rostovtsev:
The Scientific Research Seminar on Computer Algebra in 2000-2001. Program. Comput. Softw. 28(2): 59-61 (2002) - [c17]Sergei A. Abramov:
Applicability of Zeilberger's algorithm to hypergeometric terms. ISSAC 2002: 1-7 - 2001
- [j7]Sergei A. Abramov, Alexander P. Kryukov, V. A. Rostovtsev:
The Scientific Research Seminar on Computer Algebra in 1999-2000. Program. Comput. Softw. 27(1): 1-3 (2001) - [c16]Sergei A. Abramov, Manuel Bronstein:
On solutions of linear functional systems. ISSAC 2001: 1-6 - [c15]Sergei A. Abramov, Marko Petkovsek:
Minimal decomposition of indefinite hypergeometric sums. ISSAC 2001: 7-14 - 2000
- [j6]Sergei A. Abramov:
A note on the number of division steps in the Euclidean algorithm. SIGSAM Bull. 34(4): 1-2 (2000) - [j5]Sergei A. Abramov, Marko Petkovsek, Anna A. Ryabenko:
Special formal series solutions of linear operator equations. Discret. Math. 210(1-3): 3-25 (2000) - [j4]Sergei A. Abramov:
m-Sparse solutions of linear ordinary differential equations with polynomial coefficients. Discret. Math. 217(1-3): 3-15 (2000) - [j3]Sergei A. Abramov:
Eventually rational and m-sparse points of linear ordinary differential operators with polynomial coefficients. Discret. Math. 225(1-3): 3-13 (2000) - [j2]Sergei A. Abramov, Alexander P. Kryukov, Vitaly Rostovtsev:
The scientific research Seminar on Computer Algebra in 1998-1999. Program. Comput. Softw. 26(1): 3-6 (2000) - [c14]Sergei A. Abramov, Manuel Bronstein:
Hypergeometric dispersion and the orbit problem. ISSAC 2000: 8-13
1990 – 1999
- 1999
- [c13]Sergei A. Abramov, Mark van Hoeij:
Desingularization of Linear Difference Operators with Polynomial Coefficients. ISSAC 1999: 269-275 - 1998
- [j1]Sergei A. Abramov, Peter Paule, Marko Petkovsek:
q-Hypergeometric solutions of q-difference equations. Discret. Math. 180(1-3): 3-22 (1998) - [c12]Sergei A. Abramov, Moulay A. Barkatou:
Rational Solutions of First Order Linear Difference Systems. ISSAC 1998: 124-131 - 1997
- [c11]Sergei A. Abramov, Mark van Hoeij:
A Method for the Integration of Solutions of Ore Equations. ISSAC 1997: 172-175 - [c10]Sergei A. Abramov, Eugene V. Zima:
Minimal Completely Factorable Annihilators. ISSAC 1997: 290-297 - 1996
- [c9]Sergei A. Abramov, Eugene V. Zima:
D'Alembertian Solutions of Inhomogeneous Linear Equations (differential, difference, and some other). ISSAC 1996: 232-240 - 1995
- [c8]Sergei A. Abramov:
Rational Solutions of linear Difference and q-Difference Equations with Polynomial Coefficients. ISSAC 1995: 285-289 - [c7]Sergei A. Abramov, Manuel Bronstein, Marko Petkovsek:
On Polynomial Solutions of Linear Operator Equations. ISSAC 1995: 290-296 - [c6]Sergei A. Abramov:
Indefinite Sums of Rational Functions. ISSAC 1995: 303-308 - 1994
- [c5]Sergei A. Abramov, Marko Petkovsek:
D'Alembertian Solutions of Linear Differential and Difference Equations. ISSAC 1994: 169-174 - 1993
- [c4]Sergei A. Abramov:
On d'Alembert Substitution. ISSAC 1993: 20-26 - [c3]Sergei A. Abramov, K. Yu. Kvashenko:
On the Greatest Common Divisor of Polynomials which Depend on a Parameter. ISSAC 1993: 152-156 - 1991
- [c2]Sergei A. Abramov, K. Yu. Kvashenko:
Fast Algorithms to Search for the Rational Solutions of Linear Differential Equations with Polynomial Coefficients. ISSAC 1991: 267-270
1980 – 1989
- 1987
- [c1]Sergei A. Abramov:
Some algorithms of rational function algebra. EUROCAL 1987: 45-47
Coauthor Index
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