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arXiv · 2312.05999

On common zeros of entire functions of exponential growth

B. Kazarnovskii
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Abstract

For systems of equations with an infinite set of roots, one can sometimes obtain Kushnirenko-Bernstein-Khovanskii type theorem if replace the number of roots by their asymptotic density. We consider systems of entire functions with exponential growth in the space $\mathbb C^n$, and calculate the asymptotic distribution of their common zeros in terms of the geometry of convex sets in the space $\mathbb C^n$.

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B. Kazarnovskii. 2023-12-10. On common zeros of entire functions of exponential growth. https://arxiv.org/abs/2312.05999

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