The Modulus of Polynomials with Zeros at the Roots of Unity

The Modulus of Polynomials with Zeros at the Roots of Unity

In search of examples for the study of rational functions with poles on the unit circle |z| = 1 in the complex plane, Carley and Li were faced with a complex question. In order to count the number of nonzero coefficients in pn(z), they looked at the meaning of these coefficients.

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Veröffentlicht in:The American mathematical monthly 2000-10, Vol.107 (8), p.742-748
Hauptverfasser: Carley, Holly, Li, Xin
Format: Artikel
Sprache:eng
Schlagworte:
Calculus
Coefficients
Infinity
Integers
Mathematical constants
Mathematical functions
Mathematics
Numbers
Polynomials
Sine function
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Beschreibung
Zusammenfassung:In search of examples for the study of rational functions with poles on the unit circle |z| = 1 in the complex plane, Carley and Li were faced with a complex question. In order to count the number of nonzero coefficients in pn(z), they looked at the meaning of these coefficients.
ISSN:0002-9890
1930-0972
DOI:10.1080/00029890.2000.12005265