2 citations · 4 across the 4 of their papers we have counts for
4 papers
Bounds on Autocorrelation Coefficients of Rudin-Shapiro Polynomials
J. -P. Allouche, S. Choi, A. Denise +2
We study the autocorrelation coefficients of the Rudin-Shapiro polynomials, proving in particular that their maximum on the interval is bounded from below by $C_1 2^{αn}…
M. Riesz-Schur-type inequalities for entire functions of exponential type
Tamas Erdelyi, Michael I. Ganzburg, Paul Nevai
We prove a general M. Riesz-Schur-type inequality for entire functions of exponential type.
The Mahler measure of the Rudin-Shapiro polynomials
Tamas Erdelyi
Littlewood polynomials are polynomials with each of their coefficients in {-1,1}. A sequence of Littlewood polynomials that satisfies a remarkable flatness property on the unit cir…
Riesz Polarization Inequalities in Higher Dimensions
Tamas Erdélyi, Edward B. Saff
We derive bounds and asymptotics for the maximum Riesz polarization quantity $$M_n^p(A) := \max_{{\bold x}_1, {\bold x}_2, \ldots, {\bold x}_n \in A} {\min_{{\bold x} \in A}{\sum_{…