Andreas O. Bender
Published 2008-09-25, updated 2013-03-01Version 2
A monic polynomial in F_q[t] of degree n over a finite field F_q of odd characteristic can be written as the sum of two irreducible monic elements in F_q[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 F_q[t].
Comments: 16 pages. Major revision accepted for publication in Mathematika. This version is slightly different from the one to be published
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