On the irreducibility of the non-cyclotomic part of most 0,1-polynomials with few terms

Key Points

• The polynomial F(x) shows irreducibility for almost all positive integer choices of n1, …, nk.
• Consideration of cyclotomic factors leads to insights about the structure of polynomials.
• The results build on previous findings from Schinzel, expanding the understanding of polynomial behavior.
• The investigation focuses on specific cases of 0,1-polynomials that are important in number theory.