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arXiv · 1901.06832

Bounds on Autocorrelation Coefficients of Rudin-Shapiro Polynomials

J. -P. Allouche·S. Choi·A. Denise·T. Erdélyi·B. Saffari
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Abstract

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 $\alpha = 0.7302852...$ and $\alpha' = 0.7302867...$.

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J. -P. Allouche, S. Choi, A. Denise, T. Erdélyi, B. Saffari. 2019-01-21. Bounds on Autocorrelation Coefficients of Rudin-Shapiro Polynomials. https://arxiv.org/abs/1901.06832

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