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math.NT2026
On Sárközy-Sós Theorem related to representation functions
Jin-Hui Fang, Sándor Z. Kiss, Wei Niu +1
Let be the set of all nonnegative integers. For a nonempty set and integers , let be the number…
math.NT2026
On the Monotonicity of Higher-Fold Representation Functions
Csaba Sándor, Quan-Hui Yang
For a positive integer , let denote the number of ordered representations with all . Let \[ B=\{0\}\cup\{m\ge 1:\text{ the base-4 expan…