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Real zeros of random sums with i.i.d. coefficients
Let $\{f_k\}$ be a sequence of entire functions that are real valued on the real-line. We study the expected number of real zeros of random sums of the form $P_n(z)=\sum _{k=0}^n\eta _k f_k(z)$, where $\{\eta _k\}$ are real valued i.i.d. random varia