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On additive and multiplicative decompositions of sets of integers with restricted prime factors, II: Smooth numbers and generalizations
Indagationes Mathematicae ( IF 0.5 ) Pub Date : 2021-05-15 , DOI: 10.1016/j.indag.2021.05.001 K. Győry , L. Hajdu , A. Sárközy
中文翻译:
关于具有受限质因数的整数集的加法和乘法分解,II:平滑数和泛化
更新日期:2021-07-09
Indagationes Mathematicae ( IF 0.5 ) Pub Date : 2021-05-15 , DOI: 10.1016/j.indag.2021.05.001 K. Győry , L. Hajdu , A. Sárközy
In part I of this paper we studied additive decomposability of the set of the -smooth numbers and the multiplicative decomposability of the shifted set . In this paper, focusing on the case of ’large’ functions , we continue the study of these problems. Further, we also investigate a problem related to the m-decomposability of -term sumsets, for arbitrary .
中文翻译:
关于具有受限质因数的整数集的加法和乘法分解,II:平滑数和泛化
在本文的第一部分,我们研究了集合的可加分解性 的 -平滑数和移位集的乘法可分解性 . 在本文中,重点关注“大”函数的情况,我们继续研究这些问题。此外,我们还研究了与 m 可分解性相关的问题-term sumsets,用于任意 .