J. Jedwab

activity

20112022

most citedLittlewood Polynomials with Small

L^{4}

Norm

8 citations · 23 across the 19 of their papers we have counts for

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math.NT2019

The mean and variance of the reciprocal merit factor of four classes of binary sequences

Jonathan Jedwab

The merit factor of a ${- 1, 1}$ binary sequence measures the collective smallness of its non-trivial aperiodic autocorrelations. Binary sequences with large merit factor are impo…

math.NT2012★ 8 cited

Littlewood Polynomials with Small $L^{4}$ Norm

Jonathan Jedwab, Daniel J. Katz, Kai-Uwe Schmidt

Littlewood asked how small the ratio $∣∣ f ∣ ∣_{4} /∣∣ f ∣ ∣_{2}$ (where $∣∣.∣ ∣_{α}$ denotes the $L^{α}$ norm on the unit circle) can be for polynomials $f$ having all coefficients in ${1, - 1}$ ,…

math.NT2011★ 1 cited

The L_4 norm of Littlewood polynomials derived from the Jacobi symbol

Jonathan Jedwab, Kai-Uwe Schmidt

Littlewood raised the question of how slowly the L_4 norm ||f||_4 of a Littlewood polynomial f (having all coefficients in {-1,+1}) of degree n-1 can grow with n. We consider such…

The mean and variance of the reciprocal merit factor of four classes of binary sequences

Littlewood Polynomials with Small L4 Norm

The L_4 norm of Littlewood polynomials derived from the Jacobi symbol

Littlewood Polynomials with Small $L^{4}$ Norm