The paper claims a conditional proof of convergence for the alternating Erdős series, but the proof relies on an invalid integral representation and a false Hölder continuity assertion.
Erdős, Some of my new and almost new problems and results in combinatorial number theory , in K
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Holder continuity of an alternating Erdos series on prime K-tuples
The paper claims a conditional proof of convergence for the alternating Erdős series, but the proof relies on an invalid integral representation and a false Hölder continuity assertion.