number-theory / Number Theory, Complete Sequences
If $A \subseteq \mathbb{N}$ has unbounded dyadic-shell counts and $\sum_{n \in A} \|\theta n\| = \infty$ for every $0 < \theta < 1$, must $A$ be complete - is every sufficiently large integer a sum of distinct elements of $A$?
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If $A \subseteq \mathbb{N}$ has unbounded dyadic-shell counts and $\sum_{n \in A} \|\theta n\| = \infty$ for every $0 < \theta < 1$, must $A$ be complete - is every sufficiently large integer a sum of distinct elements of $A$?
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If $A \subseteq \mathbb{N}$ has unbounded dyadic-shell counts and $\sum_{n \in A} \|\theta n\| = \infty$ for every $0 < \theta < 1$, must $A$ be complete - is every sufficiently large integer a sum of distinct elements of $A$?
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