The density of polynomials of degree n over Zp having exactly r roots in Qp

Stevan Gajovic, Manjul Bhargava, John Cremona, Tom Fisher

Onderzoeksoutput: VoordrukAcademic

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We determine the probability that a random polynomial of degree n over Zp has exactly r roots in Qp, and show that it is given by a rational function of p that is invariant under replacing p by 1/p.
Originele taal-2English
Aantal pagina's19
StatusSubmitted - 26-jan.-2021

Publicatie series

UitgeverijCornell University Press
ISSN van geprinte versie2331-8422

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