Representing an element in Fq[t] as the sum of two irreducibles
Abstract
A monic polynomial in Fq[t] of degree n over a finite field Fq of odd characteristic can be written as the sum of two irreducible monic elements in Fq[t] of degrees n and n-1 if q is larger than a bound depending only on n. The main tool is a sufficient condition for simultaneous primality of two polynomials in one variable x with coefficients in Fq[t].
0