Skip to content

Erdős problem 239

Start work

Let f:N→{−1,1}f:\mathbb{N}\to \{-1,1\} be a multiplicative function. Is it true that lim⁡N→∞1N∑n≤Nf(n) \lim_{N\to \infty}\frac{1}{N}\sum_{n\leq N}f(n) always exists?

How the state got here

1 of 6 recorded
  1. Prior stateNone retained
  2. WorkNo submitted work retained
  3. VerificationNo check retained
  4. DecisionNo Repository has decided
  5. StandingA Result stands here
  6. Next gapNot recorded

Result history

Published changes, performers, checks, and later corrections.

No result history yet
No proposed change is retained for this Problem, so there is nothing to show a decision on.

Correction history

No correction history

Technical detailsExact roots, source, and retained record identifiers

Exact provenance

Problem row
sha256:3a4744bf4b73ea51cba6e787b42e621374d356aac5a79a42eb7a3edf58d9d705
Metadata
sha256:ac17cf4ee88e59f188123c58105a89c70d575b7954c56d9d16026228e9ed7811
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:6980c550cc8f42842b0e5fc236b1cadf81cd1264e6846b88b4be8e68e272fed3
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
Upstream sourceInspect recordsSource JSON