Abstract
Cyclotomy, the art of dividing a circle into equal parts, was a Greek specialty, and the only tools allowed were a straightedge and a compass. The subject is deeply related to number theory, as we saw in our discussion of Fermat primes in Sect. 3.8. In addition, cyclotomic polynomials play an important role in modern digital processes and fast computation (Sect. 24.3).
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References
C. F. Gauss: Disquisitiones Arithmeticae [English transi. by A. A. Clarke, Yale University Press, New Haven 1966 ]
W. Gellert, H. Kästner, M. Hellwich, H. Kästner (eds.): The VNR Concise Encyclopedia of Mathematics ( Van Nostrand Reinhold, New York 1977 )
H. Rademacher: Lectures on Elementary Number Theory ( Blaisdell, New York 1964 )
J. H. McClellan, C. M. Rader: Number Theory in Digital Signal Processing ( Prentice-Hall, Englewood Cliffs, NJ 1979 )
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© 1984 Springer-Verlag Berlin Heidelberg
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Schroeder, M.R. (1984). Cyclotomic Polynomials. In: Number Theory in Science and Communication. Springer Series in Information Sciences, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02395-2_22
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DOI: https://doi.org/10.1007/978-3-662-02395-2_22
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