Shambhu Nath Maurya, Koushik Saha
Published 2020-04-23Version 1
In this article, we study the fluctuation of linear eigenvalue statistics of symmetric circulant matrices $(SC_n)$ with independent entries which satisfy some moment conditions. We show that $\frac{1}{\sqrt{n}} \Tr \phi(SC_n)$ obey the central limit theorem (CLT) type result, where $\phi$ is a nice test function.
Central limit theorem for linear eigenvalue statistics of random matrices with independent entries
Central Limit Theorem for Linear Statistics of Eigenvalues of Band Random Matrices
A central limit theorem for the zeroes of the zeta function
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