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Michael F. Singer: [Publications] [Author Rank by year] [Co-authors] [Prefers] [Cites] [Cited by]

Publications of Author

  1. Michael F. Singer, Felix Ulmer
    On a Third Order Differential Equation whose Differential Galois Group is the Simple Group of 168 Elements. [Citation Graph (0, 0)][DBLP]
    AAECC, 1993, pp:316-324 [Conf]
  2. Michael F. Singer, James H. Davenport
    Elementary and Liouvillian Solutions of Linear Differential Equations. [Citation Graph (0, 0)][DBLP]
    European Conference on Computer Algebra (2), 1985, pp:595-596 [Conf]
  3. Dima Grigoriev, Marek Karpinski, Michael F. Singer
    Interpolation of Sparse Rational Functions Without Knowing Bounds on Exponents [Citation Graph (0, 0)][DBLP]
    FOCS, 1990, pp:840-846 [Conf]
  4. Olivier Cormier, Michael F. Singer, Felix Ulmer
    Computing the Galois group of a polynomial using linear differential equations. [Citation Graph (0, 0)][DBLP]
    ISSAC, 2000, pp:78-85 [Conf]
  5. Michael F. Singer
    Liouvillian First Integrals of Differential Equations. [Citation Graph (0, 0)][DBLP]
    ISSAC, 1988, pp:57-63 [Conf]
  6. Michael F. Singer, Felix Ulmer
    Liouvillian Solutions of Third Order Linear Differential Equations: New Bounds and Necessary Conditions. [Citation Graph (0, 0)][DBLP]
    ISSAC, 1992, pp:57-62 [Conf]
  7. Ziming Li, Michael F. Singer, Min Wu, Dabin Zheng
    A recursive method for determining the one-dimensional submodules of Laurent-Ore modules. [Citation Graph (0, 0)][DBLP]
    ISSAC, 2006, pp:220-227 [Conf]
  8. Michael F. Singer
    Testing Reducibility of Linear Differential Operators: A Group Theoretic Perspective. [Citation Graph (0, 0)][DBLP]
    Appl. Algebra Eng. Commun. Comput., 1996, v:7, n:2, pp:77-104 [Journal]
  9. Michael F. Singer, Felix Ulmer
    Necessary Conditions for Liouvillian Solutions of (Third Order) Linear Equations. [Citation Graph (0, 0)][DBLP]
    Appl. Algebra Eng. Commun. Comput., 1995, v:6, n:, pp:1-22 [Journal]
  10. Elie Compoint, Michael F. Singer
    Computing Galois Groups of Completely Reducible Differential Equations. [Citation Graph (0, 0)][DBLP]
    J. Symb. Comput., 1999, v:28, n:4-5, pp:473-494 [Journal]
  11. Olivier Cormier, Michael F. Singer, Barry M. Trager, Felix Ulmer
    Linear Differential Operators for Polynomial Equations. [Citation Graph (0, 0)][DBLP]
    J. Symb. Comput., 2002, v:34, n:5, pp:355-398 [Journal]
  12. P. A. Hendricks, Michael F. Singer
    Solving Difference Equations in Finite Terms. [Citation Graph (0, 0)][DBLP]
    J. Symb. Comput., 1999, v:27, n:3, pp:239-259 [Journal]
  13. Michael F. Singer
    Formal Solutions of Differential Equations. [Citation Graph (0, 0)][DBLP]
    J. Symb. Comput., 1990, v:10, n:1, pp:59-94 [Journal]
  14. Michael F. Singer
    Liouvillian Solutions of Linear Differential Equations with Liouvillian Coefficients. [Citation Graph (0, 0)][DBLP]
    J. Symb. Comput., 1991, v:11, n:3, pp:251-273 [Journal]
  15. Michael F. Singer, Felix Ulmer
    Galois Groups of Second and Third Order Linear Differential Equations. [Citation Graph (0, 0)][DBLP]
    J. Symb. Comput., 1993, v:16, n:1, pp:9-36 [Journal]
  16. Michael F. Singer, Felix Ulmer
    Liouvillian and Algebraic Solutions of Second and Third Order Linear Differential Equations. [Citation Graph (0, 0)][DBLP]
    J. Symb. Comput., 1993, v:16, n:1, pp:37-73 [Journal]
  17. Michael F. Singer
    The Model Theory of Ordered Differential Fields. [Citation Graph (0, 0)][DBLP]
    J. Symb. Log., 1978, v:43, n:1, pp:82-91 [Journal]
  18. Dima Grigoriev, Marek Karpinski, Michael F. Singer
    Fast Parallel Algorithms for Sparse Multivariate Polynomial Interpolation over Finite Fields. [Citation Graph (0, 0)][DBLP]
    SIAM J. Comput., 1990, v:19, n:6, pp:1059-1063 [Journal]
  19. Dima Grigoriev, Marek Karpinski, Michael F. Singer
    Computational Complexity of Sparse Rational Interpolation. [Citation Graph (0, 0)][DBLP]
    SIAM J. Comput., 1994, v:23, n:1, pp:1-11 [Journal]
  20. Dima Grigoriev, Michael F. Singer, Andrew Chi-Chih Yao
    On Computing Algebraic Functions Using Logarithms and Exponentials. [Citation Graph (0, 0)][DBLP]
    SIAM J. Comput., 1995, v:24, n:2, pp:242-246 [Journal]
  21. Michael F. Singer, B. David Saunders, B. F. Caviness
    An Extension of Liouville's Theorem on Integration in Finite Terms. [Citation Graph (0, 0)][DBLP]
    SIAM J. Comput., 1985, v:14, n:4, pp:966-990 [Journal]
  22. Ziming Li, Michael F. Singer, Min Wu, Dabin Zheng
    A Recursive Method for Determining the One-Dimensional Submodules of Laurent-Ore Modules [Citation Graph (0, 0)][DBLP]
    CoRR, 2006, v:0, n:, pp:- [Journal]

  23. Introduction to the Galois Theory of Linear Differential Equations [Citation Graph (, )][DBLP]


  24. Liouvillian Solutions of Difference-Differential Equations [Citation Graph (, )][DBLP]


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