S. Abramov

发表

On the summation of rational functions

S. Abramov, 1971 .

Univariate Ore Polynomial Rings in Computer Algebra

H. Q. Le, S. Abramov, Ziming Li, 2005 .

Strategic Effectiveness Evaluation as Integral Part of the Modern Enterprise Management

S. Abramov, E. Popkova, L. Ermolina, 2015 .

Matrices of Scalar Differential Operators: Divisibility and Spaces of Solutions

M. Petkovšek, S. Abramov, M. Barkatou, 2020, Computational Mathematics and Mathematical Physics.

S C ] 2 3 M ar 2 01 8 Convolutions of Liouvillian Sequences

M. Petkovšek, S. Abramov, H. Zakrajsek, 2018 .

Methods of calculating the preconditions of programs

S. Abramov, 1984 .

On the Birch-Swinnerton-Dyer Conjecture mod p

S. Abramov, M. Rosenbloom, 1984 .

Approximate calculation of the first term of the Taylor expansion at the identity of the canonical L-function of Weyl curves

S. Abramov, M. Rozenblyum, 1979 .

On Polynomial Solutions of Linear Partial Differential and (q-)Difference Equations

Sergei A. Abramov, Marko Petkovsek, M. Petkovšek, 2012, CASC.

D'Alembertian solutions of inhomogeneous linear equations (differential, difference, and some other)

Sergei A. Abramov, Eugene V. Zima, S. Abramov, 1996, ISSAC '96.

D'Alembertian solutions of linear differential and difference equations

Sergei A. Abramov, Marko Petkovsek, M. Petkovšek, 1994, ISSAC '94.

Exhaustive Use of Information on an Equation with Truncated Coefficients

D. E. Khmelnov, S. Abramov, A. Ryabenko, 2022, Programming and computer software.

Procedures for Constructing Truncated Solutions of Linear Differential Equations with Infinite and Truncated Power Series in the Role of Coefficients

S. A. Abramov, D. E. Khmelnov, A. A. Ryabenko, 2021, Program. Comput. Softw..

Truncated Series and Formal Exponential-Logarithmic Solutions of Linear Ordinary Differential Equations

D. E. Khmelnov, S. Abramov, A. Ryabenko, 2020, Computational Mathematics and Mathematical Physics.

Regular Solutions of Linear Ordinary Differential Equations and Truncated Series

D. E. Khmelnov, S. Abramov, A. Ryabenko, 2020, Computational Mathematics and Mathematical Physics.

Regular Solutions of Linear Ordinary Differential Equations and Truncated Series

D. E. Khmelnov, S. Abramov, A. Ryabenko, 2020 .

Linear Ordinary Differential Equations and Truncated Series

D. E. Khmelnov, S. Abramov, A. Ryabenko, 2019, Computational Mathematics and Mathematical Physics.

On full rank differential systems with power series coefficients

Moulay A. Barkatou, Sergei A. Abramov, D. E. Khmelnov, 2015, J. Symb. Comput..

Computable Infinite Power Series in the Role of Coefficients of Linear Differential Systems

Moulay A. Barkatou, Sergei A. Abramov, S. Abramov, 2014, CASC.

Regular solutions of linear differential systems with power series coefficients

Sergei A. Abramov, D. E. Khmelnov, Denis E. Khmelnov, 2014, Programming and Computer Software.

Higher-Order Linear Differential Systems with Truncated Coefficients

Moulay A. Barkatou, Eckhard Pflügel, Sergei A. Abramov, 2011, CASC.

On Regular and Logarithmic Solutions of Ordinary Linear Differential Systems

Manuel Bronstein, Sergei A. Abramov, D. E. Khmelnov, 2005, CASC.

On polynomial solutions of linear operator equations

Manuel Bronstein, Sergei A. Abramov, Marko Petkovsek, 1995, ISSAC '95.

Truncated and Infinite Power Series in the Role of Coefficients of Linear Ordinary Differential Equations

Sergei A. Abramov, D. E. Khmelnov, Anna A. Ryabenko, 2020, CASC.

Procedures for Searching Laurent and Regular Solutions of Linear Differential Equations with the Coefficients in the Form of Truncated Power Series

D. E. Khmelnov, S. Abramov, A. Ryabenko, 2020, Programming and Computer Software.

The TruncatedSeries Package for Solving Linear Ordinary Differential Equations Having Truncated Series Coefficients

D. E. Khmelnov, S. Abramov, A. Ryabenko, 2020, MC.

Procedures for Constructing Truncated Solutions of Linear Differential Equations with Infinite and Truncated Power Series in the Role of Coefficients

D. E. Khmelnov, S. Abramov, A. Ryabenko, 2021, Programming and Computer Software.

A note on the number of division steps in the Euclidean algorithm

Sergei A. Abramov, S. Abramov, 2000, SIGS.

Procedures for searching local solutions of linear differential systems with infinite power series in the role of coefficients

D. E. Khmelnov, S. Abramov, A. Ryabenko, 2016, Programming and Computer Software.

Problem of the Human Capital Quality Reducing in Conditions of Educational Unification

S. Abramov, E. Popkova, O. S. Chechina, 2015 .

When does Zeilberger's algorithm succeed?

S. A. Abramov, S. Abramov, 2003, Adv. Appl. Math..

Applicability of Zeilberger's algorithm to hypergeometric terms

Sergei A. Abramov, S. Abramov, 2002, ISSAC '02.

Rational canonical forms and efficient representations of hypergeometric terms

Sergei A. Abramov, Marko Petkovsek, Ha Q. Le, 2003, ISSAC '03.

Rational Normal Forms and Minimal Decompositions of Hypergeometric Terms

Sergei A. Abramov, Marko Petkovsek, M. Petkovšek, 2002, J. Symb. Comput..

On some decidable and undecidable problems related to q-difference equations with parameters

Sergei A. Abramov, S. Abramov, 2010, ISSAC.

Apparent singularities of linear difference equations with polynomial coefficients

S. Abramov, M. V. Hoeij, M. Barkatou, 2004, Applicable Algebra in Engineering, Communication and Computing.

The rational component of the solution of a first-order linear recurrence relation with a rational right side

S. A. Abramov, S. Abramov, 1975 .

q-Hypergeometric solutions of q-difference equations

Sergei A. Abramov, Marko Petkovsek, Peter Paule, 1998, Discret. Math..

Subanalytic solutions of linear difference equations and multidimensional hypergeometric sequences

Moulay A. Barkatou, Mark van Hoeij, Sergei A. Abramov, 2011, J. Symb. Comput..

Factorization of Polynomials and GCD Computations for Finding Universal Denominators

Sergei A. Abramov, D. E. Khmelnov, Denis E. Khmelnov, 2010, CASC.

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

Manuel Bronstein, Sergei A. Abramov, Marko Petkovsek, 2020, J. Symb. Comput..

Telescoping in the context of symbolic summation in Maple

Keith O. Geddes, Jacques Carette, Sergei A. Abramov, 2004, J. Symb. Comput..

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

Sergei A. Abramov, Marko Petkovsek, M. Petkovšek, 2004, J. Symb. Comput..

Linear differential and difference systems: EGδ- and EGσ- eliminations

D. E. Khmelnov, S. Abramov, 2013, Programming and Computer Software.

On an undecidable problem related to difference equations with parameters

Sergei A. Abramov, S. Abramov, 2010, Programming and Computer Software.

Indicial rational functions of linear ordinary differential equations with polynomial coefficients

S. Abramov, A. Ryabenko, 2009 .

Laurent, Rational, and Hypergeometric Solutions of Linear q-Difference Systems of Arbitrary Order with Polynomial Coefficients

D. E. Khmelnov, S. Abramov, A. Ryabenko, 2018, Programming and computer software.

Package of Procedures for Inverting Matrices Whose Entries are Linear Difference Operators

D. E. Khmelnov, S. Abramov, 2019, Programming and Computer Software.

Resolving sequences of operators for linear ordinary differential and difference systems of arbitrary order

M. Petkovšek, S. Abramov, A. Ryabenko, 2016 .

On Solution Spaces of Products of Linear Differential or Difference Operators

Moulay A. Barkatou, Sergei A. Abramov, S. Abramov, 2015, ACCA.

On singular points of solutions of linear differential systems with polynomial coefficients

Sergei A. Abramov, D. E. Khmelnov, S. Abramov, 2012 .

On valuations of meromorphic solutions of arbitrary-order linear difference systems with polynomial coefficients

Sergei A. Abramov, D. E. Khmelnov, Denis E. Khmelnov, 2012, ISSAC.

Denominators of rational solutions of linear difference systems of an arbitrary order

Sergei A. Abramov, D. E. Khmelnov, Denis E. Khmelnov, 2012, Programming and Computer Software.

Valuations of rational solutions of linear difference equations at irreducible polynomials

Sergei A. Abramov, A. Gheffar, S. Abramov, 2011, Adv. Appl. Math..

Rational solutions of linear difference equations: Universal denominators and denominator bounds

Sergei A. Abramov, D. E. Khmelnov, Denis E. Khmelnov, 2011, Programming and Computer Software.

A direct algorithm to compute rational solutions of first order linear q-difference systems

Sergei A. Abramov, S. Abramov, 2002, Discret. Math..

Linear algebra for skew-polynomial matrices

S. Abramov, M. Bronstein, 2002 .

On solutions of linear functional systems

Manuel Bronstein, Sergei A. Abramov, S. Abramov, 2001, ISSAC '01.

Hypergeometric dispersion and the orbit problem

Manuel Bronstein, Sergei A. Abramov, S. Abramov, 2000, ISSAC.

Rational solutions of first order linear difference systems

Moulay A. Barkatou, Sergei A. Abramov, S. Abramov, 1998, ISSAC '98.

Rational solutions of linear differential and difference equations with polynomial coefficients

S. A. Abramov, S. Abramov, 1991 .

Polynomial Ring Automorphisms , Rational ( w , σ )-Canonical Forms , and the Assignment Problem Dedicated to the memory of Manuel Bronstein ( 1963 – 2005 )

M. Petkovšek, S. Abramov, 2010 .

Linear Difference Operators with Coefficients in the Form of Infinite Sequences

M. Petkovšek, S. Abramov, M. Barkatou, 2021, Computational Mathematics and Mathematical Physics.

On Unimodular Matrices of Difference Operators

Sergei A. Abramov, D. E. Khmelnov, Denis E. Khmelnov, 2018, CASC.

Revealing matrices of linear differential systems of arbitrary order

D. E. Khmelnov, S. Abramov, A. Ryabenko, 2017, Programming and Computer Software.

On the Differential and Full Algebraic Complexities of Operator Matrices Transformations

Sergei A. Abramov, S. Abramov, 2016, CASC.

On the Dimension of Solution Spaces of Full Rank Linear Differential Systems

Moulay A. Barkatou, Sergei A. Abramov, S. Abramov, 2013, CASC.

On Ranks of Matrices over Noncommutative Domains

M. Petkovšek, S. Abramov, A. Ryabenko, 2023, Computational Mathematics and Mathematical Physics.

On Rational and Hypergeometric Solutions of Linear Ordinary Difference Equations in $\Pi\mathbf\Sigma^*$-field extensions

S. Abramov, M. Bronstein, Carsten Schneider, 2020, 2005.04944.

Minimal completely factorable annihilators

Sergei A. Abramov, Eugene V. Zima, S. Abramov, 1997, ISSAC.

On Rational and Hypergeometric Solutions of Linear Ordinary Difference Equations in *-field extensions

M. Petkovšek, S. Abramov, M. Bronstein, 2021 .

Telescoping in the context of symbolic summation

Keith O. Geddes, Jacques Carette, S. A. Abramov, 2004 .

Linear q-difference equations depending on a parameter

Sergei A. Abramov, Anna A. Ryabenko, S. Abramov, 2013, J. Symb. Comput..