Michael Singer

Works (25)

2020 journal article

Some structural results on D-n-finite functions

ADVANCES IN APPLIED MATHEMATICS, 117.

By: A. Jimenez-Pastor, V. Pillwein & M. Singer

Source: Web Of Science
Added: April 27, 2020

2020 journal article

Walks in the quarter plane: Genus zero case

JOURNAL OF COMBINATORIAL THEORY SERIES A, 174.

By: T. Dreyfus, C. Hardouin, J. Roques & M. Singer

Source: Web Of Science
Added: May 18, 2020

2019 journal article

Consistent systems of linear differential and difference equations

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 21(9), 2751–2792.

By: R. Schaefke & M. Singer

Source: Web Of Science
Added: August 5, 2019

2018 journal article

On the nature of the generating series of walks in the quarter plane

Inventiones Mathematicae, 213(1), 139–203.

By: T. Dreyfus, C. Hardouin, J. Roques & M. Singer

Source: NC State University Libraries
Added: August 6, 2018

2017 journal article

Galois groups for integrable and projectively integrable linear difference equations

Journal of Algebra, 480, 423–449.

By: C. Arreche & M. Singer

Source: NC State University Libraries
Added: August 6, 2018

2016 journal article

Desingularization of Ore operators

Journal of Symbolic Computation, 74, 617–626.

By: S. Chen, M. Kauers & M. Singer

Source: NC State University Libraries
Added: August 6, 2018

2015 journal article

Reductive linear differential algebraic groups and the galois groups of parameterized linear differential equations

International Mathematics Research Notices, (7), 1733–1793.

By: A. Minchenko, A. Ovchinnikov & M. Singer

Source: NC State University Libraries
Added: August 6, 2018

2014 journal article

On the summability of bivariate rational functions

Journal of Algebra, 409, 320–343.

By: S. Chen & M. Singer

Source: NC State University Libraries
Added: August 6, 2018

2014 journal article

Unipotent differential algebraic groups as parameterized differential galois groups

Journal of the Institute of Mathematics of Jussieu, 13(4), 671–700.

By: A. Minchenko, A. Ovchinnikov & M. Singer

Source: NC State University Libraries
Added: August 6, 2018

2013 journal article

Linear algebraic groups as parameterized Picard-Vessiot Galois groups

Journal of Algebra, 373, 153–161.

By: M. Singer

Source: NC State University Libraries
Added: August 6, 2018

2013 journal article

Projective isomonodromy and galois groups

Proceedings of the American Mathematical Society, 141(2), 605–617.

By: C. Mitschi & M. Singer

Source: NC State University Libraries
Added: August 6, 2018

2012 journal article

Monodromy groups of parameterized linear differential equations with regular singularities

Bulletin of the London Mathematical Society, 44, 913–930.

By: C. Mitschi & M. Singer

Source: NC State University Libraries
Added: August 6, 2018

2012 journal article

Residues and telescopers for bivariate rational functions

Advances in Applied Mathematics, 49(2), 111–133.

By: S. Chen & M. Singer

Source: NC State University Libraries
Added: August 6, 2018

2011 journal article

A Jordan-Holder Theorem for differential algebraic groups

Journal of Algebra, 328(1), 190–217.

By: P. Cassidy & M. Singer

Source: NC State University Libraries
Added: August 6, 2018

2011 article

Differential Galois theory of linear difference equations (vol 342, pg 333, 2008)

Mathematische Annalen, Vol. 350, pp. 243–244.

By: C. Hardouin & M. Singer

Source: NC State University Libraries
Added: August 6, 2018

2010 journal article

An algorithm to compute Liouvillian solutions of prime order linear difference-differential equations

Journal of Symbolic Computation, 45(3), 306–323.

By: R. Feng, M. Singer & M. Wu

Source: NC State University Libraries
Added: August 6, 2018

2010 journal article

Liouvillian solutions of linear difference-differential equations

Journal of Symbolic Computation, 45(3), 287–305.

By: R. Feng, M. Singer & M. Wu

Source: NC State University Libraries
Added: August 6, 2018

2007 journal article

Model theory of partial differential fields: From commuting to noncommuting derivations

Proceedings of the American Mathematical Society, 135(6), 1929–1934.

By: M. Singer

Source: NC State University Libraries
Added: August 6, 2018

2005 journal article

On the constructive inverse problem in differential Galois theory

Communications in Algebra, 33(10), 3639–3665.

By: W. Cook, C. Mitschi & M. Singer

Source: NC State University Libraries
Added: August 6, 2018

2002 journal article

Linear differential operators for polynomial equations

Journal of Symbolic Computation, 34(5), 355–398.

By: O. Cormier, M. Singer, B. Trager & F. Ulmer

Source: NC State University Libraries
Added: August 6, 2018

2001 journal article

Effective methods in algebraic geometry

Journal of Pure and Applied Algebra, 164(1-2), 1–2.

By: M. Singer

Source: NC State University Libraries
Added: August 6, 2018

1999 journal article

Calculating the Galois group of L-1(L-2(y))=0, L-1,L-2 completely reducible operators

Journal of Pure and Applied Algebra, 139(1-3), 3–23.

By: P. Berman & M. Singer

Source: NC State University Libraries
Added: August 6, 2018

1999 journal article

Computing Galois groups of completely reducible differential equations

Journal of Symbolic Computation, 28(4-5), 473–494.

By: E. Compoint & M. Singer

Source: NC State University Libraries
Added: August 6, 2018

1999 journal article

Solving difference equations in finite terms

Journal of Symbolic Computation, 27(3), 239–259.

By: P. Hendriks & M. Singer

Source: NC State University Libraries
Added: August 6, 2018

1997 journal article

Linear differential equations and products of linear forms

Journal of Pure and Applied Algebra, 117(1997 May), 549–563.

By: M. Singer & F. Ulmer

Source: NC State University Libraries
Added: August 6, 2018