Irreducible polynomials of bounded height

DOI10.1215/00127094-2019-0047zbMath1447.11112arXiv1710.05165OpenAlexW2767106737MaRDI QIDQ2178452

Gady Kozma, Lior Bary-Soroker

Publication date: 11 May 2020

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.05165

zbMATH Keywords

random polynomialsprobabilistic Galois theory

Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05) Polynomials (irreducibility, etc.) (11R09) Real polynomials: analytic properties, etc. (26C05)

Related Items (8)

Towards van der Waerden’s conjecture ⋮ A note on invariable generation of nonsolvable permutation groups ⋮ Unlocking the walk matrix of a graph ⋮ Irreducibility of random polynomials: general measures ⋮ Counting decomposable polynomials with integer coefficients ⋮ The characteristic polynomial of a random matrix ⋮ Random symmetric matrices: rank distribution and irreducibility of the characteristic polynomial ⋮ On the Galois theory of generalized Laguerre polynomials and trimmed exponential

Uses Software

• MathOverflow

Cites Work

• Unnamed Item
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• On the order of uniprimitive permutation groups
• Zeros of polynomials with \(0, 1\) coefficients
• Low-degree factors of random polynomials
• Invariable generation of the symmetric group
• Irreducibility of random polynomials of large degree
• On the distribution of roots of polynomials
• Four random permutations conjugated by an adversary generateS_nwith high probability
• Is a bivariate polynomial with ± 1 coefficients irreducible? Very likely!
• ON THE DISTRIBUTION OF GALOIS GROUPS
• Field Arithmetic
• On the distribution of reducible polynomials
• On the distribution of primes in short intervals
• On the number of irreducible polynomials with 0,1 coefficients
• On random polynomials over finite fields
• On Random Generation of the Symmetric Group
• On roots of random polynomials
• Permutations Fixing ak-set
• The Complex Zeros of Random Polynomials
• On Common Roots of Random Bernoulli Polynomials
• Die Seltenheit der reduziblen Gleichungen und der Gleichungen mit Affekt
• On the average number of real roots of a random algebraic equation
• Irreducible polynomials with several prescribed coefficients

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