Counting estimates related to intersective polynomials in function fields
Let(F)q[t]denote the polynomial ring over the finite field(F)q of q elements,h ∈ (F)q[t][x] is an intersective polynomial,A ⊆(F)q[t] is a set containing some polynomials of degree less than N.A sequence of group with four elements is constructed by estimation of density increment.When the density of A is sufficiently large,the estimation of number of solutions to the equation x-y=z is obtained,where x,y∈ A and z ∈ h((F)q[t])\{0}.
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