2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127585Dirac 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.9 pages, minor correctionsGeneral Mathematics11N05; 11A41Identities for number series and their reciprocals: Dirac delta function approachtext