Vô Conjecture 40(VC40)

This paper proposes VC40, a uniform counting conjecture for tuples of polynomials satisfying a linear relation and an inequality involving the maximum polynomial degree and the degree of the radical of their product. The setting is the polynomial ring \mathrm{F}_q\mathrm{[} t\mathrm{]}, where q\mathrm{=} p^m is a prime power of characteristic p.