Identities for number series and their reciprocals: Dirac delta function approach

Mathematics – General Mathematics

Scientific paper

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9 pages, minor corrections

Scientific paper

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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