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Suites de Rudin-Shapiro, thème et variation. (Rudin-Shapiro sequence, theme and variation). (French) Zbl 0713.11017

Sémin. Théor. Nombres, Univ. Bordeaux I 1986-1987, Exp. No. 5, 11 p. (1987).
The author reports on estimates of trigonometric polynomials related to papers of J. P. Allouche, the author and G. Tenenbaum [Tokyo J. Math. 11, No.2, 323-328 (1988; Zbl 0685.28010)] and B. Saffari [C. R. Acad. Sci., Paris, Sér. I 303, 97-100 (1986; Zbl 0608.10051)].

MSC:

11B83 Special sequences and polynomials
11L03 Trigonometric and exponential sums (general theory)
42A05 Trigonometric polynomials, inequalities, extremal problems