Daniel J. Katz

Rudin-Shapiro-Like Polynomials with Maximum Asymptotic Merit Factor.

2017 · arXiv (Cornell University)

Borwein and Mossinghoff investigated the Rudin-Shapiro-like polynomials, which are infinite families of Littlewood polynomials, that is, polynomials whose coefficients are all in $\{-1,1\}$. Each family of Rudin-Shapiro-like polynomials is obtained from a starting polynomial (which …

Weil sums of binomials: properties and applications.

2018 · arXiv (Cornell University)

We present a survey on Weil sums in which an additive character of a finite field $F$ is applied to a binomial whose individual terms (monomials) become permutations of $F$ when regarded as functions. Then …