Positive Exponential Sums and Odd Polynomials

  title={Positive Exponential Sums and Odd Polynomials},
  author={Marina Nin{\vc}evi{\'c} and Sinisa Slijepcevic},
Given an odd integer polynomial f(x) of a degree k ≥ 3, we construct a non-negative valued, normed trigonometric polynomial with non-vanishing coefficients only at values of f(x) not greater than n, and a small free coefficient a0 = O((log n)−1/k). This gives an alternative proof of the bound for the maximal possible cardinality of a set of integers A, so… CONTINUE READING