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Sequences of algebraic integers and density modulo  1

Roman Urban (2007)

Journal de Théorie des Nombres de Bordeaux

We prove density modulo 1 of the sets of the form { μ m λ n ξ + r m : n , m ∈ ℕ } , where λ , μ ∈ ℝ is a pair of rationally independent algebraic integers of degree d ≥ 2 , satisfying some additional assumptions, ξ ≠ 0 , and r m is any sequence of real numbers.

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