On an incomplete argument of Erdos on the irrationality of Lambert series
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🧮 math.NT
keywords
erdosincompletelambertproofseriesargumentelementaryfinishes
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We show that the Lambert series $f(x)=\sum d(n) x^n$ is irrational at $x=1/b$ for negative integers $b < -1$ using an elementary proof that finishes an incomplete proof of Erdos.
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