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Generalizations of a cotangent sum associated to the Estermann zeta function

Generalizations of a cotangent sum associated to the Estermann zeta function

Cotangent sums are associated to the zeros of the Estermann zeta function. They have also proven to be of importance in the Nyman–Beurling criterion for the Riemann Hypothesis. The main result of the paper is the proof of the existence of a unique positive measure [Formula: see text] on [Formula: …