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Research notes on every problem, and a library of the papers behind them. Built from the open erdos repository.

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1945_02_24_erdos: Proves that an additive function that is nondecreasing, or whose consecutive differences tend to zero, is exactly a constant multiple of the logarithm; refereed in the Annals of Mathematics.

1970_01_01_wirsing: Proves that an additive function whose consecutive differences are bounded equals a constant multiple of the logarithm up to a bounded error, answering the question yes; published in Symposia Mathematica and recorded as the proof.