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Observations from Computer Experiments on An Integer Equation

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Abstract

Computer algebra programs such as Mathematica [7], Maple, Macsyma, etc., with their exact integer and infinite (almost) precision capabilities, have opened the way to meaningful experimental solution of Diophantine and other integer equations.

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References

  1. Fielder, D. “Computer Induced Conjectures on Properties of Certain Symmetrical Integer Equations. CERL Memorandum Report 10/09/04, Computer Engineering Research Laboratory, School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA: 1994.

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  2. Fielder, D. “Equality of the Differences Between Integers and Powers of Those Integers. CERL Memorandum Report 03/10/95, CERL, Atlanta, GA: 1995.

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  3. Foster, L. “Solution to Problem S31.” The American Mathematical Monthly, January (1982): p. 62.

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  4. Maeder, R. The Mathematical Programmer. Cambridge, MA: Academic Press Professional, 1994.

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  5. Prielipp, R. “Solution to Problem 313.” Mathematics and Computer Education, Vol. 29.2 (1995): p. 213.

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  6. Sher, D. “Problem Proposal 313.” Mathematics and Computer Education, Vol. 28.2 (1994): p. 208.

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  7. Wolfram Research, Inc. Mathematica, Version 2.2. Champaign, IL: Wolfram Research, Inc., 1991.

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© 1998 Springer Science+Business Media Dordrecht

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Fielder, D.C., Alford, C.O. (1998). Observations from Computer Experiments on An Integer Equation. In: Bergum, G.E., Philippou, A.N., Horadam, A.F. (eds) Applications of Fibonacci Numbers. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5020-0_13

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  • DOI: https://doi.org/10.1007/978-94-011-5020-0_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6107-0

  • Online ISBN: 978-94-011-5020-0

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