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Michael  F Singer
Michael F Singer
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Galois theory of linear differential equations
M Van der Put, MF Singer
Springer Science & Business Media, 2012
11732012
Elementary first integrals of differential equations
MJ Prelle, MF Singer
Proceedings of the fourth ACM symposium on Symbolic and algebraic …, 1981
4161981
Liouvillian first integrals of differential equations
MF Singer
Transactions of the American Mathematical Society 333 (2), 673-688, 1992
4121992
Galois theory of difference equations
M Van der Put, MF Singer
Springer, 2006
4002006
Liouvillian solutions of n-th order homogeneous linear differential equations
MF Singer
American Journal of Mathematics 103 (4), 661-682, 1981
1931981
Fast parallel algorithms for sparse multivariate polynomial interpolation over finite fields
DY Grigoriev, M Karpinski, MF Singer
SIAM Journal on Computing 19 (6), 1059-1063, 1990
1811990
Galois groups of second and third order linear differential equations
MF Singer, F Ulmer
Journal of Symbolic Computation 16 (1), 9-36, 1993
1801993
Differential Galois theory of linear difference equations
C Hardouin, MF Singer
Mathematische Annalen 342 (2), 333-377, 2008
1622008
Solving difference equations in finite terms
PA Hendricks, MF Singer
Journal of symbolic computation 27 (3), 239-259, 1999
1591999
Testing reducibility of linear differential operators: a group theoretic perspective
MF Singer
Applicable Algebra in Engineering, Communication and Computing 7 (2), 77-104, 1996
1591996
Liouvillian solutions of linear differential equations with Liouvillian coefficients
MF Singer
Journal of Symbolic Computation 11 (3), 251-273, 1991
1461991
Liouvillian and algebraic solutions of second and third order linear differential equations
MF Singer, F Ulmer
Journal of Symbolic Computation 16 (1), 37-73, 1993
1341993
Galois theory of linear differential equations
MF Singer
LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES 1 (357), 1-82, 2009
1252009
Galois theory of parameterized differential equations and linear differential algebraic groups
PJ Cassidy, MF Singer
Differential equations and quantum groups 9, 113-155, 2007
1152007
On the infinitesimal geometry of integrable systems
A Baider, RC Churchill, DL Rod, MF Singer
Mechanics Day (Waterloo, ON, 1992) 7, 5-56, 1996
991996
Formal solutions of differential equations
MF Singer
Journal of Symbolic Computation 10 (1), 59-94, 1990
991990
An outline of differential Galois theory
MF Singer
Computer algebra and differential equations, 3-57, 1990
981990
On the nature of the generating series of walks in the quarter plane
T Dreyfus, C Hardouin, J Roques, MF Singer
Inventiones mathematicae 213 (1), 139-203, 2018
812018
The model theory of ordered differential fields
MF Singer
The Journal of Symbolic Logic 43 (1), 82-91, 1978
781978
Solving ordinary differential equations in terms of series with real exponents
MF Singer
Transactions of the American Mathematical Society 327 (1), 329-351, 1991
771991
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