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Erdős problem 1192

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Does there exist, for all r≥2r\geq 2, a basis AA of order rr (so that fr(n)>0f_r(n)>0 for all large nn) such that ∑n≤xfr(n)2≪x\sum_{n\leq x}f_r(n)^2 \ll x for all xx?

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  1. Sourceerdos-problems
  2. StatementRetained
  3. Formal7 retained
  4. ResolutionNone filed
  5. WorkNone recorded
  6. DecisionNone here
  7. The questionNot reached
What this record is missingResolution

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Where the source files it128 share a topic
Additive Combinatorics102Additive Basis31
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