References
-
S. Beslin and V. De Angelis, The minimal polynomials of sin(2
${\pi}$ /p) and cos(2${\pi}$ /p), Math. Mag. 77 (2004), no. 2, 146-149. https://doi.org/10.1080/0025570X.2004.11953242 - P. Borwein and T. Erdelyi, Polynomials and Polynomial Inequalities, Springer-Verlag, NY, Inc., 1995.
- E. Grosswald, Topics from the Theory of Numbers, The Macmillan Company, NY, 1966.
- G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, Fourth Ed. Oxford University Press, London. 1975.
- D. H. Lehmer, A Note on Trigonometric Algebraic Numbers, Amer. Math. Monthly 40 (1933), no. 3, 165-166. https://doi.org/10.2307/2301023
- I. G. Macdonald, Symmetric functions and Hall polynomials, Oxford Mathematical Monographs, Clarendon Press, Oxford, 1979.
-
D. Surowski and P. McCombs, Homogeneous polynomials and the minimal polynomial of cos(2
${\pi}$ /n), Missouri J. Math. Sci. 15 (2003), no. 1, 4-14. - C. R.Wall, Selected Topics in Elementary Number Theory, University of South Carolina Press, Columbia, S.C., 1974.
-
W. Watkins and J. Zeitlin, The Minimal Polynomial of cos(2
${\pi}$ /n), The American Mathematical Monthly 100 (1993), no. 5, 471-474. https://doi.org/10.2307/2324301 - K. W. Wegner, Trigonometric values that are algebraic numbers, The Mathematics Teacher 50 (1957), no. 8, 557-561.
- K. W. Wegner, Equations with trigonometric values as roots, Amer. Math. Monthly 66 (1959), no. 1, 52-53. https://doi.org/10.2307/2309924