## Abstract

We determine the probability that a random polynomial of degree (Formula presented.) over (Formula presented.) has exactly (Formula presented.) roots in (Formula presented.), and show that it is given by a rational function of (Formula presented.) that is invariant under replacing (Formula presented.) by (Formula presented.).

Original language | English (US) |
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Pages (from-to) | 713-736 |

Number of pages | 24 |

Journal | Proceedings of the London Mathematical Society |

Volume | 124 |

Issue number | 5 |

DOIs | |

State | Published - May 2022 |

## All Science Journal Classification (ASJC) codes

- General Mathematics

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