For random coefficients aj and bj we consider a random trigonometric polynomial defined as Tn(θ) = ∑n j=0{aj cos jθ + bj sin jθ}. The expected number of real zeros of Tn(θ) in the interval (0,2π) can be easily obtained. In this note we show that this number is in fact n/ √ 3. However the variance of the above number is not known. This note presents a method which leads to the asymptotic value f...
