Polynomial sequences over function fields are equidistributed in the torus when at least one qualifying coefficient is irrational and no scaled multiples appear in the degree set, fully resolving the stated conjecture.
Weil, Basic number theory, Die Grundlehren der mathematischen Wissenschaften, Band 144
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Equidistribution of polynomial sequences in function fields: resolution of a conjecture
Polynomial sequences over function fields are equidistributed in the torus when at least one qualifying coefficient is irrational and no scaled multiples appear in the degree set, fully resolving the stated conjecture.