Average number of Real Roots of Random Trigonometric Polynomial follows non-symmetric Semi-Cauchy Distribution

Abstract

Let a₁ (w), a^₂ (w), a3 (w).. .. ...a_{n (w)} be a sequence of mutually independent, identically distributed random variables following semi-cauchy distribution with characteristic function exp (-(C + cosloglt|) |t|),  C>1) .