Resumen de Sequences of [0,1]-polynomial with exponents in arithmetic progression
This paper finds the first irreducible polynomial in the sequence f1(x), f2(x),…, where fk(x)=1+∑ki=0xn+id, based on the values of n and d. In particular, when d and n are distinct, the author proves that if p is the smallest odd prime not dividing d−n, then fp−2(x) is irreducible, except in a few special cases. The author also completely characterizes the appearance of the first irreducible polynomial, if any, when d=n.
