The density of polynomials of degree n$n$ over Zp${\mathbb {Z}}_p$ having exactly r$r$ roots in Qp${\mathbb {Q}}_p$
Published version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Bhargava, Manjul
Cremona, John
Fisher, Tom
Gajovic, Stevan
Abstract
Abstract: We determine the probability that a random polynomial of degree n
Description
Funder: Simons Investigator Grant
Funder: Heilbronn Institute for Mathematical Research
Keywords
4901 Applied Mathematics, 4904 Pure Mathematics, 49 Mathematical Sciences
Journal Title
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY
Conference Name
Journal ISSN
0024-6115
1460-244X
1460-244X
Volume Title
124
Publisher
Wiley
Publisher DOI
Sponsorship
National Science Foundation (DMS‐1001828)
Deutsche Forschungsgemeinschaft (MU 4110/1‐1)
Deutsche Forschungsgemeinschaft (MU 4110/1‐1)