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Desingularization explains order-degree curves for ore operators
Shaoshi Chen
,
Maximilian Jaroschek
,
Manuel Kauers
,
Michael F. Singer
Proceedings of the 38th International Symposium on Symbolic and Algebraic Computation, ISSAC'2013 (Boston, Massachusetts, USA, June 26-29, 2013)
, 2013, pp. 157-164
Telescopers for rational and algebraic functions via residues
Shaoshi Chen
,
Manuel Kauers
,
Michael F. Singer
Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation, ISSAC'2012 (Grenoble, France, July 22-25, 2012)
, 2012, pp. 130-137
Liouvillian solutions of linear difference-differential equations
Ruyong Feng
,
Michael F. Singer
,
Min Wu
Journal Symbolic Computation
45
(3), 2010, pp. 287-305
An algorithm to compute Liouvillian solutions of prime order linear difference-differential equations
Ruyong Feng
,
Michael F. Singer
,
Min Wu
Journal Symbolic Computation
45
(3), 2010, pp. 306-323
A recursive method for determining the one-dimensional submodules of Laurent-Ore modules
Ziming Li
,
Michael F. Singer
,
Min Wu
,
Dabin Zheng
Proceedings of the 2006 International Symposium on Symbolic and Algebraic Computation, ISSAC'2006 (Università degli Studi di Genova, Genova, Italy, July 9-12, 2006)
, 2006, pp. 220-227
Linear differential operators for polynomial equations
Olivier Cormier
,
Michael F. Singer
,
Barry M. Trager nd Felix Ulmer
Journal Symbolic Computation
34
(5), 2002, pp. 355-398
Computing the Galois group of a polynomial using linear differential equations
Olivier Cormier
,
Michael F. Singer
,
Felix Ulmer
Proceedings of the 2000 International Symposium on Symbolic and Algebraic Computation, ISSAC'2000 (University of St. Andrews, Scotland, August 7-9, 2000)
, 2000, pp. 78-85
Computing Galois groups of completely reducible differential equations
Elie Compoint
,
Michael F. Singer
Journal Symbolic Computation
28
(4-5), 1999, pp. 473-494
Solving difference equations in finite terms
Peter A. Hendriks
,
Michael F. Singer
Journal Symbolic Computation
27
(3), 1999, pp. 239-259
Computational complexity of sparse rational interpolation
Dima Grigoriev
,
Marek Karpinski
,
Michael F. Singer
SIAM Journal on Computing
23
(1), 1994, February, pp. 1-11
Galois groups of second and third order linear differential equations
Michael F. Singer
,
Felix Ulmer
Journal Symbolic Computation
16
(1), 1993, pp. 9-36
Liouvillian and algebraic solutions of second and third order linear differential equations
Michael F. Singer
,
Felix Ulmer
Journal Symbolic Computation
16
(1), 1993, pp. 37-73
On a third order differential equation whose differential Galois group is the simple group of 168 elements
Michael F. Singer
,
Felix Ulmer
Lecture Notes in Computer Science
673
, 1993, pp. 316-324
Liouvillian solutions of third order linear differential equations: New bounds and necessary conditions
Michael F. Singer
,
Felix Ulmer
Proceedings of the 1992 International Symposium on Symbolic and Algebraic Computation, ISSAC'92 (Berkeley, California, July 27-29, 1992)
, 1992, pp. 57-62
Interpolation of sparse rational functions without knowing bounds on exponents
Dima Yu. Grigoriev
,
Marek Karpinski
,
Michael F. Singer
Technical Report (MPI/90-10), 1991
Liouvillian solutions of linear differential equations with Liouvillian coefficients
Michael F. Singer
Journal Symbolic Computation
11
(3), 1991, pp. 251-273
Fast parallel algorithms for sparse multivariate polynomial interpolation over finite fields
Dima Yu. Grigoriev
,
Marek Karpinski
,
Michael F. Singer
SIAM Journal on Computing
19
(6), 1990, December, pp. 1059-1063
Formal solutions of differential equations
Michael F. Singer
Journal Symbolic Computation
10
, 1990, pp. 59-94
Fast parallel algorithms for sparse multivariate polynomial interpolation over finite fields
Dima Yu. Grigoriev
,
Marek Karpinski
,
Michael F. Singer
Technical Report (8523-CS), 1988, May