Irreducibility of Random Polynomials

DOI10.1080/10586458.2017.1325790zbMath1405.11031arXiv1705.03709OpenAlexW2963198342MaRDI QIDQ4646714

Melanie Matchett Wood, Samantha Solberg, Evan Boyd, Christian Borst, Claire Brekken, Philip Matchett Wood

Publication date: 14 January 2019

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.03709

zbMATH Keywords

irreduciblelow-degree factorsrandom integer polynomials

Mathematics Subject Classification ID

Combinatorial probability (60C05) Polynomials in number theory (11C08)

Related Items (5)

Unlocking the walk matrix of a graph ⋮ Irreducibility of random polynomials of bounded degree ⋮ Low-degree factors of random polynomials ⋮ On the reducibility and the lenticular sets of zeroes of almost Newman lacunary polynomials ⋮ An on-average Maeda-type conjecture in the level aspect

Cites Work

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• Double roots of random Littlewood polynomials
• On the singularity of random Bernoulli matrices -- novel integer partitions and lower bound expansions
• Die Seltenheit der reduziblen Polynome
• On the singularity probability of discrete random matrices
• Zeros of polynomials with \(0, 1\) coefficients
• Splitting fields of elements in arithmetic groups
• Walks on groups, counting reducible matrices, polynomials, and surface and free group automorphisms
• Is a bivariate polynomial with ± 1 coefficients irreducible? Very likely!
• On random ±1 matrices: Singularity and determinant
• On the singularity probability of random Bernoulli matrices
• On the distribution of reducible polynomials
• Reducible Polynomials
• On the number of irreducible polynomials with 0,1 coefficients
• On the Probability That a Random ± 1-Matrix Is Singular
• Artin's Primitive Root Conjecture – A Survey
• Probabilistic Galois theory
• Zum Hilbertschen Irreduzibilitätssatz

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