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arXiv · 0809.4381

Representing an element in F_q[t] as the sum of two irreducibles

Andreas O. Bender
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Abstract

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].

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Andreas O. Bender. 2013-03-01. Representing an element in F_q[t] as the sum of two irreducibles. https://doi.org/10.1112/s0025579313000065

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