How we proved that there are exactly 924 cyclic 7-roots

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How we proved that there are exactly 924 cyclic 7-roots

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International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1991 international symposium on Symbolic and algebraic computation table of contents

Bonn, West Germany

Pages: 103 - 111

Year of Publication: 1991

ISBN:0-89791-437-6

Authors

Jörgen Backelin	Dept. of Mathematics, University of Stockholm, 113 85 Stockholm, Sweden
Ralf Fröberg	Dept. of Mathematics, University of Stockholm, 113 85 Stockholm, Sweden

Sponsors

GMD : German Natl Research Ctr for Information Tech. - Gesellschft
German Comp Soc : GI - Gesellshaft for Informatik
SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 0, Downloads (12 Months): 15, Citation Count: 4

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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.

	1	G. BaORCK, Functions of modulus on Zp whose Fourier transforms have constan~ modulus, Proc. A. Haar Memorial Conf., Budapest, Colloquia Ma~hematica Societatis J~nos Bolyai 49 (1985), 193-197.
	2	G. BJORCK, Functions of modulus on Z,. whose Fourier transforms have constant modulus, and "cyclic n-roots", Recent Advances in Fourier Analysis and its Applications (J. S. Byrnes and J. F. Byrnes, eds), NATO Adv. Sci. Inst. Set. C: Math. Phys. Sci., Kluwer, 315 131-140.
	3	G. BJottcK, R. FR6BERG, A faster way to count the solutions of inhomogeneous systems of algebraic equations, with applications to cyclic n-roots, to appear in J. Symb. Comp..
	4	G. CARRA'FERRO, L. ROBBIANO, On superG-bases, J. Pure Applied Alg. 68 (1990), 279-292.
	5	Rüdiger Gebauer , H. Michael Möller, On an installation of Buchberger's algorithm, Journal of Symbolic Computation, v.6 n.2-3, p.275-286, Oct./Dec. 1988 [doi>10.1016/S0747-7171(88)80048-8]
	6	U. MEINHOLD, AIgorithmische Aspekte zur Theorie tier Gr6bner-Basen, Beitrhge zur Algebra und Geometrie 27 (1988), 63-81.
	7	D.K. TAYLOR, Ideals generated by monomials in an R-sequence, Ph. D. Thesis. University of Chicago, 1966.

CITED BY 4

	Daniel Lazard, Thirty years of Polynomial System Solving, and now?, Journal of Symbolic Computation, v.44 n.3, p.222-231, March, 2009
	Ioannis Z. Emiris , Ashutosh Rege, Monomial bases and polynomial system solving (extended abstract), Proceedings of the international symposium on Symbolic and algebraic computation, p.114-122, July 20-22, 1994, Oxford, United Kingdom
	Jan Verschelde, Algorithm 795: PHCpack: a general-purpose solver for polynomial systems by homotopy continuation, ACM Transactions on Mathematical Software (TOMS), v.25 n.2, p.251-276, June 1999
	Johannes Grabmeier , Erich Kaltofen , Volker Weispfenning, Cited References, Computer algebra handbook, Springer-Verlag New York, Inc., New York, NY, 2003