What attempts have been made to prove that $\gamma := \lim_{k\rightarrow \infty} \sum_{k=1}^{n} \frac{1}{k} \log n$ is transcendental?
Any reference for stuff that has been proved on this constant?
Thanks in advance, Alan.
What attempts have been made to prove that $\gamma := \lim_{k\rightarrow \infty} \sum_{k=1}^{n} \frac{1}{k} \log n$ is transcendental? Any reference for stuff that has been proved on this constant? Thanks in advance, Alan. 

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