Identities for number series and their reciprocals: Dirac delta function approach
classification
🧮 math.GM
keywords
functionapproachdeltadiracidentitiesmethodnumberreciprocals
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Dirac delta function (delta-distribution) approach can be used as efficient method to derive identities for number series and their reciprocals. Applying this method, a simple proof for identity relating prime counting function (pi-function) and logarithmic integral (Li-function) can be obtained.
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