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math.CO2026
On additive complements in natural numbers
Quan-Hui Yang, Lilu Zhao
We prove that for additive complements and , if then This impro…
math.CO2026
Products of Two Integers Avoiding Perfect Powers
Quan-Hui Yang, Lilu Zhao
For integers , let be the largest size of a subset of containing no two distinct elements whose product is a perfect -th power, and let …