Identities for number series and their reciprocals: Dirac delta function approach
Sanjar M. Abrarov, R. M. Abrarov · arXiv (Cornell University) · 2007
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.