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Goryashin D. V. On an Additive Problem with Squarefree Numbers. Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2013, vol. 13, iss. 4, pp. 41-47. DOI:


On an Additive Problem with Squarefree Numbers

An asymptotic formula for the number of representations of a positive integer N in the form q1 + q2 + [®q3] is obtained, where q1, q2, q3 are squarefree numbers and ® > 1 is a fixed irrational algebraic number.
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