Author

Yu-Chen Wang

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Open access Sep 2026

A note on the expectation of zeros of random harmonic polynomials: The Kac model

Motivated by the questions posed by W. V. Li and A. Wei and the conjecture of E. Lundberg and A. Thomack, we study the expected number of zeros of random harmonic polynomials $H_{n,m}(z)=p_n(z)+\overline{q_m(z)}$ with independently and identically distributed Gaussian coefficients. In this paper we verify the conjectur...

Da-Wei Lu, Yu-Chen Wang · Proceedings of the American... · 0 citations

Preprint Sep 2026

Berry-Esseen Bounds for the Number of Real Zeros of Gaussian Weyl Polynomials

We establish Berry-Esseen bounds for the number of real roots of Gaussian Weyl polynomials $P_n$, where $n$ denotes the degree and is assumed to be sufficiently large. For each fixed $B$ above an absolute threshold, let $I_n=[-\sqrt n+B\sqrt{\log n}, \sqrt n-B\sqrt{\log n}]$. Uniformly over deterministic compact interv...

Yu-Chen Wang, Da-Wei Lu, Songhao Liu · 0 citations