# Equidistribution of zeros of polynomials

Source: [Equidistribution of zeros of polynomials](<https://www.sota2.com/research/paper/68fa54a31e209131ce98d26d>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T13:06:29.436Z

Authors: K. Soundararajan

Published: 2018-02-19T02:57:51.000Z

## Abstract

A classical result of Erdos and Turan states that if a monic polynomial has small size on the unit circle and its constant coefficient is not too small, then its zeros cluster near the unit circle and become equidistributed in angle. Using Fourier analysis we give a short and self-contained proof of this result.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1802.06506>)

[PDF](<https://arxiv.org/pdf/1802.06506.pdf>)