Journal of applied mathematics & informatics

  • 제4권1호
  • /
  • Pages.39-46
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  • 1997
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  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

UPPER BOUNDS FOR THE AUTOCORRELATION COEEFFICIENTS OF THE RUDIN-SHAPIRO POLYNOMIALS

  • Taghavi, M (Department of Mathematics Shiraz University)
  • 발행 : 1997.03.01

⟨ 이전 논문 다음 논문 ⟩

초록

Given to be the $m^{th}$ correlation coefficient of the Rudin-Shapiro polynomials of degrees $2^n-1$, $$\mid$a_m$\mid$ \leq C(2^n)^{\frac{3}{4}}$ and there exists $\kappa \neq 0$ such that $$\mid$a_{\kappa}$\mid$ ＞D(2^n)^{0.73}$ (C and D are universal constants). Here we show that the 0.73 is optimal in the upper vound case.

키워드

참고문헌

  1. Proceeding of the Paris Academy of Science Upper bound theorems for the autocorrelation coefficients of the Rudin-Shapiro polynomials J.P.alluche;B. Saffari
  2. Journal Society of America On Multilist Spectrmetry M. J. Golay
  3. Journal Society of America Static Multilist Spectrmetry and Applications M. J. Golay
  4. An Introduction to Harmonic Analysis Y. Katznelson
  5. MS thesis M.I.T. Extremal Problems for Polynimials and Power series H. S. Shapiro
  6. Iranian Journal of Science and Technology v.20 no.2 An Estimate on the Correlation Coefficients of the Rudin-Shapiro Polynomials M. Taghavi