A1

Part of 2020 Romanian Master of Mathematics Shortlist

Problems(1)

Almost Certainly Irreducible!

Source: 2020 RMM Shortlist A1

Prove that for all sufficiently large positive integers

d{}

99\%

of the polynomials of the form

\sum_{i\leqslant d}\sum_{j\leqslant d}\pm x^iy^j

are irreducible over the integers.

algebrapolynomialRMMRMM 2020RMM Shortlist