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Sergei 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
Exhaustive Use of Information on an Equation with Truncated Coefficients. Program. Comput. Softw. 48(2): 116-124 (2022) - [c40]Sergei A. Abramov
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
Convolutions of Liouvillian sequences. J. Symb. Comput. 101: 73-89 (2020) - [j57]Sergei A. Abramov, Anna A. Ryabenko
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
Truncated and Infinite Power Series in the Role of Coefficients of Linear Ordinary Differential Equations. CASC 2020: 63-76 - [c37]Sergey A. Abramov
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
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
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
On Unimodular Matrices of Difference Operators. CASC 2018: 18-31 - [c35]Tatyana R. Velieva
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
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
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
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
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
Regular solutions of linear differential systems with power series coefficients. Program. Comput. Softw. 40(2): 98-106 (2014) - [c31]Sergei A. Abramov
Computable Infinite Power Series in the Role of Coefficients of Linear Differential Systems. CASC 2014: 1-12 - 2013
- [j43]Sergei A. Abramov
Linear q-difference equations depending on a parameter. J. Symb. Comput. 49: 65-77 (2013) - [j42]Sergei A. Abramov
Linear differential and difference systems: EGδ- and EGσ- eliminations. Program. Comput. Softw. 39(2): 91-109 (2013) - [c30]Sergei A. Abramov
On the Dimension of Solution Spaces of Full Rank Linear Differential Systems. CASC 2013: 1-9 - 2012
- [j41]Sergei A. Abramov
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
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
Subanalytic solutions of linear difference equations and multidimensional hypergeometric sequences. J. Symb. Comput. 46(11): 1205-1228 (2011) - [j38]Sergei A. Abramov
The research seminar on computer algebra in 2009-2010. Program. Comput. Softw. 37(2): 57-61 (2011) - [j37]Sergei A. Abramov
Rational solutions of linear difference equations: Universal denominators and denominator bounds. Program. Comput. Softw. 37(2): 78-86 (2011) - [c27]Sergei A. Abramov
Higher-Order Linear Differential Systems with Truncated Coefficients. CASC 2011: 10-24 - 2010
- [j36]Sergei A. Abramov
Polynomial ring automorphisms, rational (w, sigma)-canonical forms, and the assignment problem. J. Symb. Comput. 45(6): 684-708 (2010) - [j35]Sergei A. Abramov
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
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
D'Alembertian series solutions at ordinary points of LODE with polynomial coefficients. J. Symb. Comput. 44(1): 48-59 (2009) - [j32]Sergei A. Abramov
The research seminar on computer algebra in 2007-2008. Program. Comput. Softw. 35(2): 57-62 (2009) - [c24]Sergei A. Abramov
On m-Interlacing Solutions of Linear Difference Equations. CASC 2009: 1-17 - 2008
- [j31]Sergei A. Abramov
Dimensions of solution spaces of H. J. Symb. Comput. 43(5): 377-394 (2008) - [j30]Sergei A. Abramov
The research seminar on computer algebra in 2006-2007. Program. Comput. Softw. 34(2): 59-63 (2008) - [j29]Sergei A. Abramov
On a computer algebra technology. Program. Comput. Softw. 34(2): 64-68 (2008) - [j28]Sergei A. Abramov
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
The research seminar on computer algebra in 2005-2006. Program. Comput. Softw. 33(2): 55-59 (2007) - [j25]Sergei A. Abramov
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
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
The research seminar on computer algebra in 2004-2005. Program. Comput. Softw. 32(2): 61-64 (2006) - [j21]Sergei A. Abramov
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
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
The research seminar on computer algebra in 2003-2004. Program. Comput. Softw. 31(2): 51-55 (2005) - [c20]Sergei A. Abramov
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
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
Telescoping in the context of symbolic summation in Maple. J. Symb. Comput. 38(4): 1303-1326 (2004) - [j16]Sergei A. Abramov
The Research Seminar on Computer Algebra in 2002-2003. Program. Comput. Softw. 30(2): 57-60 (2004) - [j15]Sergei A. Abramov
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
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
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
A criterion for the applicability of Zeilberger's algorithm to rational functions . Discret. Math. 259(1-3): 1-17 (2002) - [j9]Sergei A. Abramov
Rational Normal Forms and Minimal Decompositions of Hypergeometric Terms. J. Symb. Comput. 33(5): 521-543 (2002) - [j8]Sergei A. Abramov
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
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
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
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
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
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
On the Greatest Common Divisor of Polynomials which Depend on a Parameter. ISSAC 1993: 152-156 - 1991
- [c2]Sergei A. Abramov
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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