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• W3216827585 abstract "The aim of this paper is to further explore the number $N_n(a,b)$ of real zeros of elliptic polynomials of degree $n$ on any interval $(a,b)$, where $a$ and $b$ may depend on $n$. We first obtain an asymptotic series for the variance of $N_n(a,b)$ and the leading terms of the cumulants and central moments of $N_n(a,b)$ in the large $n$ limit. These terms play an important role in understanding the limiting law as well as the large $n$ behavior of $N_n(a,b)$. As a consequence, we then examine conditions on the interval $(a,b)$ under which $N_n(a,b)$ satisfies a central limit theorem and a strong law of large numbers." @default.
• W3216827585 created "2021-12-06" @default.
• W3216827585 creator A5008416442 @default.
• W3216827585 date "2021-11-21" @default.
• W3216827585 modified "2023-09-27" @default.
• W3216827585 title "The number of real zeros of elliptic polynomials" @default.
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• W3216827585 hasPublicationYear "2021" @default.
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