Where are the zeroes of a random p-adic polynomial?

DOI10.1017/fms.2022.27zbMath1498.11229arXiv2110.03942OpenAlexW3108491201MaRDI QIDQ5094181

Xavier Caruso

Publication date: 2 August 2022

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.03942

zbMATH Keywords

mass formularandom \(p\)-adic polynomials

Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05) Distribution theory (60E99) Polynomials (11S05)

Related Items (2)

Probabilistic enumerative geometry over \(p\)-adic numbers: linear spaces on complete intersections ⋮ The Gaussian entropy map in valued fields

Cites Work

• The expected number of zeros of a random system of \(p\)-adic polynomials
• Tracking -adic precision
• The Probability That a Random Monicp-adic Polynomial Splits
• Advanced Topics in Computional Number Theory
• $p$-Adic Integral Geometry
• Mass Formulae for Extensions of Local Fields, and Conjectures on the Density of Number Field Discriminants
• On the average number of real roots of a random algebraic equation
• Mathematical Analysis of Random Noise
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