MathDB
Almost Certainly Irreducible!

Source: 2020 RMM Shortlist A1

October 8, 2022
algebrapolynomialRMMRMM 2020RMM Shortlist

Problem Statement

Prove that for all sufficiently large positive integers dd{}, at least 99%99\% of the polynomials of the form ∑i⩽d∑j⩽d±xiyj\sum_{i\leqslant d}\sum_{j\leqslant d}\pm x^iy^jare irreducible over the integers.
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