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The purpose of the present paper is to provide a general overview of a variety of results related to a category of cotangent sums which have been proven to be associated to the so-called Nyman-Beurling criterion for the Riemann Hypothesis. These sums are also related to the Estermann Zeta function.

On a Category of Cotangent Sums Related to the Nyman-Beurling Criterion for the Riemann Hypothesis