Irreducibility of Littlewood Polynomials of Special Degrees
Publication date
2025-11
Authors
Bary-Soroker, Lior
Hokken, David
Kozma, Gady
Poonen, Bjorn
Editors
Advisors
Supervisors
Document Type
Article
Metadata
Show full item recordCollections
License
cc_by
Abstract
Let f be sampled uniformly at random from the set of degree n polynomials whose coefficients lie in {±1}. A folklore conjecture, known to hold under GRH, states that the probability that f is irreducible tends to 1 as n goes to infinity. We prove unconditionally that (Formula presented).
Keywords
General Mathematics
Citation
Bary-Soroker, L, Hokken, D, Kozma, G & Poonen, B 2025, 'Irreducibility of Littlewood Polynomials of Special Degrees', International Mathematics Research Notices, vol. 2025, no. 21, rnaf326. https://doi.org/10.1093/imrn/rnaf326