Bounds on Autocorrelation Coefficients of Rudin-Shapiro Polynomials
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 $C_1 2^{αn}$ and is bounded from above by $C_2 2^{α' n}$ where $α= 0.7302852...$ and $α' = 0.7302867...$.
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