Approximately half of the roots of a random Littlewood polynomial are inside the disk
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Publication:5015410
DOI10.4064/sm201117-28-1zbMath1482.30018arXiv2011.06234OpenAlexW3166035929MaRDI QIDQ5015410
Publication date: 7 December 2021
Published in: Studia Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.06234
Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials and rational functions of one complex variable (30C10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
Cites Work
- Average Mahler’s measure and 𝐿_{𝑝} norms of Littlewood polynomials
- Log-integrability of Rademacher Fourier series, with applications to random analytic functions
- Normal Approximation and Asymptotic Expansions
- Lower bounds for the absolute value of random polynomials on a neighborhood of the unit circle
- On roots of random polynomials
- Research Problems in Function Theory
- On Littlewood Polynomials with Prescribed Number of Zeros Inside the Unit Disk
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