Erdős problem 1192 · problems.science

Does there exist, for all $r\geq 2$ , a basis $A$ of order $r$ (so that $f_r(n)>0$ for all large $n$ ) such that $\sum_{n\leq x}f_r(n)^2 \ll x$ for all $x$ ?

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Problem row: sha256:6eb42bb97c7df7ec98f81065f4ab7c248bc76ad00c734a4f5b1b3450523e417f
Metadata: sha256:997665bd8e420d5a983c76e3b66a4f672a11b875a6c2e7da2ab4469655bca54e
Observation: sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content: sha256:c0a306735c24fb1cf95c67c8d0bb4842901c5752687ffb8b1ca185f128b2fc43

Repository: sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection: sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit: 2415f78e850aeee50afdca525c6f2e0ea606f207

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