Open Access
ITM Web Conf.
Volume 20, 2018
International Conference on Mathematics (ICM 2018) Recent Advances in Algebra, Numerical Analysis, Applied Analysis and Statistics
Article Number 01006
Number of page(s) 6
Section Algebra
Published online 12 October 2018
  1. A. Bostan, G. Chèze, T. Cluzeau, and J.-A. Weil. Efficient algorithms for computing rational first integrals and darboux polynomials of planar polynomial vector fields. Mathematics of Computation, 85(299):1393–1425, 2016. [CrossRef] [Google Scholar]
  2. M. M. Carnicer. The Poincaré problem in the nondicritical case. Annals of Mathematics. Second Series, 140(2):289–294, 1994. [CrossRef] [Google Scholar]
  3. David Cox, John Little, and Donal O’shea. Ideals, varieties, and algorithms, volume 3. Springer, 2007. [Google Scholar]
  4. A. Eremenko. Rational solutions of first-order differential equations. Annales Academiae Scientiarum Fennicae. Mathematica, 23(1):181–190, 1998. [Google Scholar]
  5. L. Fuchs. Über Differentialgleichungen, deren Integrale feste Verzweigungspunkte besitzen. Sitzungsberichte Acad., 11(3):251–273, 1884. [Google Scholar]
  6. J. J. Kovacic. An algorithm for solving second order linear homogeneous differential equations. Journal of Symbolic Computation, 2(1):3–43, 1986. [Google Scholar]
  7. H. Poincaré. Sur un théorème de M. Fuchs. Acta Math., 7:1–32, 1885. [CrossRef] [Google Scholar]
  8. M.J. Prelle and M.F. Singer. Elementary first integrals of differential equations. Transactions of the American Mathematical Society, 279(1):215–229, 1983. [CrossRef] [Google Scholar]
  9. H. Stichtenoth. Algebraic Function Fields and Codes. Springer Publishing Company, Incorporated, 2nd edition, 2008. [Google Scholar]
  10. N.T. Vo, G. Grasegger, and F. Winkler. Computation of all rational solutions of firstorder algebraic odes. Advances in Applied Mathematics, 98:1–24, 2018. [CrossRef] [Google Scholar]
  11. N. T. Vo, G. Grasegger, and F. Winkler. Deciding the Existence of Rational General Solutions for First-Order Algebraic ODEs. Journal of Symbolic Computation, 87:127–139, 2018. [CrossRef] [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.