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Notes on the Distribution of Roots Modulo a Prime of a Polynomial

Notes on the Distribution of Roots Modulo a Prime of a Polynomial

Abstract Let f(x) be a monic polynomial in Z[x] with roots α 1 , . . ., α n . We point out the importance of linear relations among 1, α 1 , . . . , α n over rationals with respect to the distribution of local roots of …