The density of polynomials of degree n$n$ over Zp${\mathbb {Z}}_p$ having exactly r$r$ roots in Qp${\mathbb {Q}}_p$-Reference-Cited by-同舟云学术

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The density of polynomials of degree n$n$ over Zp${\mathbb {Z}}_p$ having exactly r$r$ roots in Qp${\mathbb {Q}}_p$

Published:2022-03-17 Issue:5 Volume:124 Page:713-736
ISSN:0024-6115
Container-title:Proceedings of the London Mathematical Society
language:en
Short-container-title:Proceedings of London Math Soc

Author:

Bhargava Manjul¹,Cremona John²,Fisher Tom³,Gajović Stevan⁴

Affiliation:

1. Department of Mathematics Princeton University Princeton New Jersey USA

2. Mathematics Institute University of Warwick Coventry UK

3. DPMMS University of Cambridge Centre for Mathematical Sciences Cambridge UK

4. Faculty of Science and Engineering University of Groningen Groningen The Netherlands

Funder

National Science Foundation

Deutsche Forschungsgemeinschaft

Publisher

Wiley

Subject

General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1112/plms.12438

Reference23 articles.

1. What is the Probability that a Random Integral Quadratic Form innVariables has an Integral Zero?

2. On the Roots of Certain Algebraic Equations

3. The Probability That a Random Monicp-adic Polynomial Splits

4. X.Caruso Where are the zeroes of a randomp$p$‐adic polynomial?Preprint October2021 available athttp://xavier.caruso.ovh/papers/publis/randompoly.pdf.

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Lines on p-adic and real cubic surfaces;Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg;2023-09-16

2. Where are the zeroes of a random p-adic polynomial?;Forum of Mathematics, Sigma;2022

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