On additive and multiplicative decompositions of sets of integers with restricted prime factors. I: Smooth numbers

DOI10.1016/j.indag.2020.10.007zbMath1470.11258arXiv2006.15307OpenAlexW3095409026MaRDI QIDQ2657638

Lajos Hajdu, Kálmán Győry, András Sárközy

Publication date: 14 March 2021

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.15307

zbMATH Keywords

\(S\)-unit equationsadditive decompositionsmultiplicative decompositionssmooth (friable) numbers

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Distribution of integers with specified multiplicative constraints (11N25) Inverse problems of additive number theory, including sumsets (11P70)

Related Items (3)

On additive and multiplicative decompositions of sets of integers composed from a given set of primes, I (Additive decompositions) ⋮ On additive and multiplicative decompositions of sets of integers composed from a given set of primes, II (Multiplicative decompositions) ⋮ On additive and multiplicative decompositions of sets of integers with restricted prime factors. II: Smooth numbers and generalizations

Cites Work

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• Untersuchungen über den Summenbegriff in der additiven Zahlentheorie
• Additive decompositions of sets with restricted prime factors
• The equation x+y=1 in finitely generated groups
• On multiplicative decompositions of polynomial sequences, I
• On multiplicative decompositions of polynomial sequences, III
• Multiplicative decomposability of shifted sets
• Unsolved problems in number theory

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