Michael F. Singer

Publication Activity (10 Years)

Years Active: 1978-2022
Publications (10 Years): 9

Top Topics

Sparse Sampling

Top Venues

J. Comb. Theory, Ser. A

Adv. Appl. Math.

Publications

Evelyne Hubert, Michael F. Singer
Sparse Interpolation in Terms of Multivariate Chebyshev Polynomials. Found. Comput. Math. 22 (6) (2022)
Shaoshi Chen, Ruyong Feng, Ziming Li, Michael F. Singer, Stephen M. Watt
Telescopers for differential forms with one parameter. CoRR (2021)
Shaoshi Chen, Ruyong Feng, Pingchuan Ma, Michael F. Singer
Separability Problems in Creative Telescoping. ISSAC (2021)
Shaoshi Chen, Ruyong Feng, Pingchuan Ma, Michael F. Singer
Separability Problems in Creative Telescoping. CoRR (2021)
Evelyne Hubert, Michael F. Singer
Sparse Interpolation in Terms of Multivariate Chebyshev Polynomials. CoRR (2020)
Charlotte Hardouin, Michael F. Singer
On Differentially Algebraic Generating Series for Walks in the Quarter Plane. CoRR (2020)
Antonio Jiménez-Pastor, Veronika Pillwein, Michael F. Singer
-finite functions. Adv. Appl. Math. 117 (2020)
Thomas Dreyfus, Charlotte Hardouin, Julien Roques, Michael F. Singer
Walks in the quarter plane: Genus zero case. J. Comb. Theory, Ser. A 174 (2020)
Shaoshi Chen, Manuel Kauers, Michael F. Singer
Desingularization of Ore operators. J. Symb. Comput. 74 (2016)
Shaoshi Chen, Manuel Kauers, Michael F. Singer
Desingularization of Ore Operators. CoRR (2014)
Shaoshi Chen, Ruyong Feng, Ziming Li, Michael F. Singer
Parallel telescoping and parameterized Picard-Vessiot theory. ISSAC (2014)
Shaoshi Chen, Ruyong Feng, Ziming Li, Michael F. Singer
Parallel Telescoping and Parameterized Picard-Vessiot Theory. CoRR (2014)
Shaoshi Chen, Maximilian Jaroschek, Manuel Kauers, Michael F. Singer
Desingularization explains order-degree curves for ore operators. ISSAC (2013)
Shaoshi Chen, Maximilian Jaroschek, Manuel Kauers, Michael F. Singer
Desingularization Explains Order-Degree Curves for Ore Operators CoRR (2013)
Shaoshi Chen, Manuel Kauers, Michael F. Singer
Telescopers for rational and algebraic functions via residues. ISSAC (2012)
Shaoshi Chen, Michael F. Singer
Residues and Telescopers for Rational Functions CoRR (2012)
Shaoshi Chen, Michael F. Singer
On the Summability of Bivariate Rational Functions CoRR (2012)
Shaoshi Chen, Manuel Kauers, Michael F. Singer
Telescopers for Rational and Algebraic Functions via Residues CoRR (2012)
Shaoshi Chen, Michael F. Singer
Residues and telescopers for bivariate rational functions. Adv. Appl. Math. 49 (2) (2012)
Ruyong Feng, Michael F. Singer, Min Wu
An algorithm to compute Liouvillian solutions of prime order linear difference-differential equations. J. Symb. Comput. 45 (3) (2010)
Ruyong Feng, Michael F. Singer, Min Wu
Liouvillian solutions of linear difference-differential equations. J. Symb. Comput. 45 (3) (2010)
Ruyong Feng, Michael F. Singer, Min Wu
Liouvillian Solutions of Difference-Differential Equations CoRR (2008)
Michael F. Singer
Introduction to the Galois Theory of Linear Differential Equations CoRR (2007)
Ziming Li, Michael F. Singer, Min Wu, Dabin Zheng
A recursive method for determining the one-dimensional submodules of Laurent-Ore modules. ISSAC (2006)
Ziming Li, Michael F. Singer, Min Wu, Dabin Zheng
A Recursive Method for Determining the One-Dimensional Submodules of Laurent-Ore Modules CoRR (2006)
Olivier Cormier, Michael F. Singer, Barry M. Trager, Felix Ulmer
Linear Differential Operators for Polynomial Equations. J. Symb. Comput. 34 (5) (2002)
Olivier Cormier, Michael F. Singer, Felix Ulmer
Computing the Galois group of a polynomial using linear differential equations. ISSAC (2000)
P. A. Hendricks, Michael F. Singer
Solving Difference Equations in Finite Terms. J. Symb. Comput. 27 (3) (1999)
Hoon Hong, Erich Kaltofen, Michael F. Singer
East Coast Computer Algebra Day '99 (April 24, 1999): abstracts of invited talks and presented posters. SIGSAM Bull. 33 (2) (1999)
Elie Compoint, Michael F. Singer
Computing Galois Groups of Completely Reducible Differential Equations. J. Symb. Comput. 28 (4-5) (1999)
Michael F. Singer
Testing reducibility of linear differential operators: A group theoretic perspective. Appl. Algebra Eng. Commun. Comput. 7 (2) (1996)
Dima Grigoriev, Michael F. Singer, Andrew Chi-Chih Yao
On Computing Algebraic Functions Using Logarithms and Exponentials. SIAM J. Comput. 24 (2) (1995)
Michael F. Singer, Felix Ulmer
Necessary conditions for liouvillian solutions of (third order) linear differential equations. Appl. Algebra Eng. Commun. Comput. 6 (1995)
Dima Grigoriev, Marek Karpinski, Michael F. Singer
Computational Complexity of Sparse Rational Interpolation. SIAM J. Comput. 23 (1) (1994)
Michael F. Singer, Felix Ulmer
On a Third Order Differential Equation whose Differential Galois Group is the Simple Group of 168 Elements. AAECC (1993)
Michael F. Singer, Felix Ulmer
Galois Groups of Second and Third Order Linear Differential Equations. J. Symb. Comput. 16 (1) (1993)
Michael F. Singer, Felix Ulmer
Liouvillian and Algebraic Solutions of Second and Third Order Linear Differential Equations. J. Symb. Comput. 16 (1) (1993)
Michael F. Singer, Felix Ulmer
Liouvillian Solutions of Third Order Linear Differential Equations: New Bounds and Necessary Conditions. ISSAC (1992)
Michael F. Singer
Liouvillian Solutions of Linear Differential Equations with Liouvillian Coefficients. J. Symb. Comput. 11 (3) (1991)
Michael F. Singer
Formal Solutions of Differential Equations. J. Symb. Comput. 10 (1) (1990)
Dima Grigoriev, Marek Karpinski, Michael F. Singer
Fast Parallel Algorithms for Sparse Multivariate Polynomial Interpolation over Finite Fields. SIAM J. Comput. 19 (6) (1990)
Dima Grigoriev, Marek Karpinski, Michael F. Singer
Interpolation of Sparse Rational Functions Without Knowing Bounds on Exponents FOCS (1990)
Michael F. Singer
Liouvillian Solutions of Linear Differential Equations with Liouvillian Coefficients. Computers and Mathematics (1989)
Michael F. Singer
Liouvillian First Integrals of Differential Equations. ISSAC (1988)
James H. Davenport, Michael F. Singer
Elementary and Liouvillian Solutions of Linear Differential Equations. J. Symb. Comput. 2 (3) (1986)
Michael F. Singer, B. David Saunders, B. F. Caviness
An Extension of Liouville's Theorem on Integration in Finite Terms. SIAM J. Comput. 14 (4) (1985)
Michael F. Singer, James H. Davenport
Elementary and Liouvillian Solutions of Linear Differential Equations. European Conference on Computer Algebra (2) (1985)
Myra Jean Prelle, Michael F. Singer
Elementary first integrals of differential equations. SYMSACC (1981)
Michael F. Singer, B. David Saunders, B. F. Caviness
An extension of Liouville's theorem on integration in finite terms. SYMSACC (1981)
Michael F. Singer
The Model Theory of Ordered Differential Fields. J. Symb. Log. 43 (1) (1978)