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math.NT2020
On additive and multiplicative decompositions of sets of integers with restricted prime factors, II. (Smooth numbers and generalizations.)
K. Gyory, L. Hajdu, A. Sarkozy
In part I of this paper we studied additive decomposability of the set $\F_y$ of th -smooth numbers and the multiplicative decomposability of the shifted set $\g_y=\F_y+\{1\}$.…
math.NT2020
On additive and multiplicative decompositions of sets of integers with restricted prime factors, I. (Smooth numbers.)
K. Győry, L. Hajdu, A. Sárközy
In [10] the third author of this paper presented two conjectures on the additive decomposability of the sequence of ''smooth'' (or ''friable'') numbers. Elsholtz and Harper [4] pro…