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Little is known about the zeros of the Digamma function. Establishing someWeierstrassian infinite product representations for a given regularization ofthe Digamma function we find interesting sums of its zeros. In addition, westudy the same questions for the zeros of the logarithmic derivative of theBarnes $G$ function. At the end of the paper we provide rather accurateapproximations of the hyperfactorial where, rather interestingly, the Lambertfunction appears.

A note on the zeros and local extrema of Digamma related functions