Explicit merit factor formulae for Fekete and Turyn polynomials

We give explicit formulas for the L 4 norm (or equivalently for the merit factors) of various sequences of polynomials related to the Fekete polynomials.

[1]  S. T. Buckland,et al.  An Introduction to the Bootstrap. , 1994 .

[2]  R. Lockhart,et al.  THE EXPECTED Lp NORM OF RANDOM POLYNOMIALS , 2001 .

[3]  H. Montgomery.  An exponential polynomial formed with the Legendre symbol , 1980 .

[4]  S. Mertens.  Exhaustive search for low-autocorrelation binary sequences , 1996 .

[5]  Henry H. Hill.  Lexington , 1936 .

[6]  MARCEL J. E. GOLAY,et al.  Sieves for low autocorrelation binary sequences , 1977, IEEE Trans. Inf. Theory.

[7]  D. Newman,et al.  The L 4 norm of a polynomial with coefficients , 1990 .

[8]  J. Beck.  Flat Polynomials on the unit Circle—Note on a Problem of Littlewood , 1991 .

[9]  Marcel J. E. Golay.  The merit factor of Legendre sequences , 1983, IEEE Trans. Inf. Theory.

[10]  Kwok-Kwong Stephen Choi,et al.  Merit Factors of Character Polynomials , 2000 .

[11]  Andrew Granville,et al.  Zeros of Fekete polynomials , 1999 .

[12]  P. Borwein,et al.  Merit Factors of Polynomials Formed by Jacobi Symbols , 2001, Canadian Journal of Mathematics.

[13]  Tom Høholdt,et al.  The merit factor of binary sequences related to difference sets , 1991, IEEE Trans. Inf. Theory.

[14]  Tom Høholdt,et al.  Determination of the merit factor of Legendre sequences , 1988, IEEE Trans. Inf. Theory.

[15]  Loo Keng Hua,et al.  Introduction to number theory , 1982 .

[16]  Peter B. Borwein,et al.  Rudin-Shapiro-like polynomials in L4 , 2000, Math. Comput..

[17]  J. Kahane.  Sur Les Polynomes a Coefficients Unimodulaires , 1980 .

[18]  J. Littlewood.  Some problems in real and complex analysis , 1968 .