Upper bounds for the autocorrelation coefficients of the Rudin-Shapiro polynomials |
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Authors: | M Taghavi |
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Institution: | 1. Department of Mathematics, Shiraz University, Shiraz, Iran
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Abstract: | Givena m to be them th correlation coefficient of the Rudin-Shapiro polynomials of degrees 2 n ? 1, ¦a m¦ ≤ C(2 n )3/4 and there existsk ≠ 0 such that ¦a k¦ >D(2 n )0.73 (C andD are universal constants). Here we show that the 0.73 is optimal in the upper bound case. |
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