We establish a general result concerning the irreducibility of the non-reciprocal part of 0, 1-polynomials and illustrate it with a few examples. We also use the result to show that if the gaps in consecutive elements of a sequence of positive integers increases to infinity, then when the first n of these positive integers are used as successive exponents for a 0, 1-polynomial, the non-reciprocal part of the polynomial is irreducible provided only that n is suciently large.
展开▼
