Real zeros of random trigonometric polynomials with pairwise equal blocks of coefficients
Real zeros of random trigonometric polynomials with pairwise equal blocks of coefficients
It is well known that the expected number of real zeros of a random cosine polynomial Vn(x)= ∑j=0naj cos(jx), x∈(0,2π), with the aj being standard Gaussian i.i.d. random variables, is asymptotically 2n∕3. On the other hand, some of the previous works on the random cosine polynomials with dependent coefficients show …