Rudin-Shapiro-Like Polynomials in L4

Autor: Borwein, Peter, Mossinghoff, Michael

Publikováno v: Mathematics of Computation, 2000 Jul 01. 69(231), 1157-1166.

Externí odkaz: https://www.jstor.org/stable/2585019

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ON THE OSCILLATION OF THE MODULUS OF THE RUDIN–SHAPIRO POLYNOMIALS ON THE UNIT CIRCLE

Autor: Tamás Erdélyi

Publikováno v: Mathematika. 66:144-160

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c8c1785ab678b49431450e0b48caeb4b
https://doi.org/10.1112/mtk.12004

An Interpolation Problem for Coefficients of H ∞ Functions

Publikováno v: Proceedings of the American Mathematical Society, 1974 Feb 01. 42(2), 402-408.

Externí odkaz: https://www.jstor.org/stable/2039516

Bounds on Autocorrelation Coefficients of Rudin-Shapiro Polynomials

Autor: B. Saffari, Alain Denise, J.-P. Allouche, Tamás Erdélyi, S. Choi

Publikováno v: Analysis Mathematica
Analysis Mathematica, Springer Verlag, 2019, 45 (4), pp.705-726. ⟨10.1007/s10476-019-0003-4⟩
Analysis Mathematica, 2019, 45 (4), pp.705-726. ⟨10.1007/s10476-019-0003-4⟩

We study the autocorrelation coefficients of the Rudin-Shapiro polynomials, proving in particular that their maximum on the interval $[1, 2^n)$ is bounded from below by $C_1 2^{\alpha n}$ and is bounded from above by $C_2 2^{\alpha' n}$ where $\alpha

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9953077d74e4d11fb8a828fd92a4718b