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Research Article

The plastic number and its generalized polynomial

| (Reviewing Editor)
Article: 1023123 | Received 18 Dec 2014, Accepted 19 Feb 2015, Published online: 20 Mar 2015

References

  • Bertin, M. J., Decomps-Guilloux, A., Grandet-Hugot, M., Pathiaux-Delefosse, M. & Schreiber, J. P. (1992). Pisot and Salem numbers. Basel: Birkhäuser.
  • Finch, S. R. (2003). Mathematical constants. New York, NY: Cambridge University Press.
  • Hare, K., Prodinger, H., & Shallit, J. (2014). Three series for the generalized golden mean. Fibonacci Quarterly, 52, 307–313.
  • Hoggatt, V. E. Jr., (1969). The Fibonacci and Lucas numbers. Boston, MA: Houghton Mifflin.
  • Martin, P. A. (2004). The galois group of xn ₋ xn₋1 ₋ … ₋ x ₋ 1. Journal of Pure and Applied Algebra, 190, 213–223.
  • Miles, E. P., Jr (1960). Generalized Fibonacci numbers and associated matrices. American Mathematical Monthly, 67, 745–752.
  • Miller, M. D. (1971). On generalized Fibonacci numbers. American Mathematical Monthly, 78, 1108–1109.
  • Pisot, C. (1938). La répartition modulo 1 et les nombres algébriques. Annali di Pisa, 7, 205–248.
  • Salem, R. (1945). Power series with integral coefficients. Duke Mathematical Journal, 12, 153–172.
  • Siegel, C. L. (1944). Algebraic numbers whose conjugates lie in the unit circle. Duke Mathematical Journal, 11, 597–602.
  • Stewart, I. (1996). Tales of a neglected number. Scientific American, 274, 102–103.
  • van der Laan, D. H. (1960). Le Nombre Plastique: quinze leçons sur l’Ordonnance architectonique. Leiden: Brill.
  • Vijayaraghavan, T. (1941). On the fractional parts of the powers of a number, II. Proceedings of the Cambridge Philosophical Society, 37, 349–357.
  • Wolfram, D. A. (1998). Solving generalized Fibonacci recurrences. Fibonacci Quarterly, 36, 129–145.
  • Zhu, X., & Grossman, G. (2009). Limits of zeros of polynomial sequences. Journal of Computational Analysis and Applications., 11, 140–158.