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most citedExpected number of real zeros of random Taylor Series

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math.PR2016

Expected number of real roots of random trigonometric polynomials

Hendrik Flasche

We investigate the asymptotics of the expected number of real roots of random trigonometric polynomials $$ X_n(t)=u+\frac{1}{\sqrt{n}}\sum_{k=1}^n (A_k\cos(kt)+B_k\sin(kt)), \quad…