On additive and multiplicative decompositions of sets of integers with restricted prime factors, I. (Smooth numbers)
Author:
Funder
National Research, Development and Innovation Office
European Social Fund
Publisher
Elsevier BV
Subject
General Mathematics
Reference11 articles.
1. The equation x+y=1 in finitely generated groups;Beukers;Acta Arith.,1996
2. N.G. de Bruijn, On the number of positive integers ≤x and free of prime factors >y, II, Ned. Akad. Wet. Proc. Ser. A 69 239–247.
3. Multiplicative decomposability of shifted sets;Elsholtz;Bull. Lond. Math. Soc.,2008
4. Additive decomposability of sets with restricted prime factors;Elsholtz;Trans. Amer. Math. Soc.,2015
5. Unit Equations in Diophantine Number Theory;Evertse,2016
Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. On additive and multiplicative decompositions of sets of integers composed from a given set of primes, II (Multiplicative decompositions);Acta Arithmetica;2023
2. On additive and multiplicative decompositions of sets of integers composed from a given set of primes, I (Additive decompositions);Acta Arithmetica;2022
3. On additive and multiplicative decompositions of sets of integers with restricted prime factors, II: Smooth numbers and generalizations;Indagationes Mathematicae;2021-07
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