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math.NT2009★ 11 cited
On quantitative analogues of the Goldbach and twin prime conjectures over F_q[t]
Andreas O. Bender, Paul Pollack
We study the number of ways to decompose a monic polynomial in F_q[t] of degree n as a sum of two monic irreducible polynomials in F_q[t]. Our principal result is an asymptotic for…
math.NT2008★ 3 cited
Representing an element in F_q[t] as the sum of two irreducibles
Andreas O. Bender
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…
math.NT2004★ 12 cited
A potential analogue of Schinzel's hypothesis for polynomials with coefficients in Fq[t]
Andreas O. Bender, Olivier Wittenberg
The Schinzel hypothesis essentially claims that finitely many irreducible polynomials in one variable over Z simultaneously assume infinitely many prime values unless there is an o…