On the greatest common divisor of polynomials which depend on a parameter

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On the greatest common divisor of polynomials which depend on a parameter

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International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1993 international symposium on Symbolic and algebraic computation table of contents

Kiev, Ukraine

Pages: 152 - 156

Year of Publication: 1993

ISBN:0-89791-604-2

Authors

S. A. Abramov
K. Yu. Kvashenko

Sponsor

SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 1, Downloads (12 Months): 5, Citation Count: 3

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	Abr71	Abramov,S.A. On the summation of rational functions. CMMP 1 11, 1(1971), 1071-1075.
	Abr75	Abramov,S.A. The rational component of the solution of a first-order linear recurrence relation with a rational right-hand s~de. CMMP 15, 4(1975), 1035-1039.
	Abr89	S. A. Abramov, Rational solutions of linear differential and difference equations with polynomial coefficients, USSR Computational Mathematics and Mathematical Physics, v.29 n.6, p.7-12, 1989 [doi>10.1016/S0041-5553(89)80002-3]
	Del et al.	Jean Della Dora , Claire Dicrescenzo , Dominique Duval, About a New Method for Computing in Algebraic Number Fields, Research Contributions from the European Conference on Computer Algebra-Volume 2, p.289-290, April 01-03, 1985
	Gosp78	Gosper,l~.W. Decision procedure for indefinite hypergeometric summation. Proc. Nat. Acad. Sci. USA 75/1(1978), 40-42.
	Hab48	Habicht,W. Ezne Verallgemeinerung des Sturmschen WurzelzShlverfahrens. Comment. math. I-Ielvetici, 21(1948), 99-116.
	Laz&Rio90	D. Lazard , R. Rioboo, Integration of rational functions: rational computation of the logarithmic part, Journal of Symbolic Computation, v.9 n.2, p.113-118, Feb. 1990 [doi>10.1016/S0747-7171(08)80026-0]
	Loos83	Loos,R. Generalized Polynomial remainder sequences, in Computer Algebra. Symbolic and algebraic computation. New York: Springer-Verlag(1983), 115-138.
	Trag76	Barry M. Trager, Algebraic factoring and rational function integration, Proceedings of the third ACM symposium on Symbolic and algebraic computation, p.219-226, August 10-12, 1976, Yorktown Heights, New York, United States [doi>10.1145/800205.806338]
	Waer53	van der Waerden,B.L. Modern algebra, vol.1. New York: Frederick Ungar, 1953.

CITED BY 3

	H. Q. Le, A direct algorithm to construct the minimal Z-pairs for rational functions, Advances in Applied Mathematics, v.30 n.1/2, p.137-159, January 2003
	S. A. Abramov, Indefinite sums of rational functions, Proceedings of the 1995 international symposium on Symbolic and algebraic computation, p.303-308, July 10-12, 1995, Montreal, Quebec, Canada
	S. A. Abramov , H. Q. Le, A criterion for the applicability of Zeilberger's algorithm to rational functions, Discrete Mathematics, v.259 n.1-3, p.1-17, 28 December 2002