Brillhart, J.; Carlitz, Leonard Note on the Shapiro polynomials. (English) Zbl 0191.35101 Proc. Am. Math. Soc. 25, 114-118 (1970). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 15 Documents Keywords:special functions PDFBibTeX XMLCite \textit{J. Brillhart} and \textit{L. Carlitz}, Proc. Am. Math. Soc. 25, 114--118 (1970; Zbl 0191.35101) Full Text: DOI Online Encyclopedia of Integer Sequences: Discriminants of Shapiro polynomials. The Rudin-Shapiro or Golay-Rudin-Shapiro sequence (coefficients of the Shapiro polynomials). Resultant of the Shapiro polynomials P_n(x) and Q_n(x). References: [1] Jean-Pierre Kahane and Raphaël Salem, Ensembles parfaits et séries trigonométriques, Actualités Sci. Indust., No. 1301, Hermann, Paris, 1963 (French). · Zbl 0112.29304 [2] Daniel Rider, Transformations of Fourier coefficients, Pacific J. Math. 19 (1966), 347 – 355. · Zbl 0144.32001 [3] Daniel Rider, Closed subalgebras of \?\textonesuperior (\?), Duke Math. J. 36 (1969), 105 – 115. [4] Walter Rudin, Some theorems on Fourier coefficients, Proc. Amer. Math. Soc. 10 (1959), 855 – 859. · Zbl 0091.05706 [5] H. S. Shapiro, Extremal problems for polynomials and power series, M.I.T. Master’s Thesis, Cambridge, Mass., 1951. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.