Identities for number series and their reciprocals: Dirac delta function approach
General Mathematics
2007-05-23 v3
Abstract
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.
Cite
@article{arxiv.0704.1936,
title = {Identities for number series and their reciprocals: Dirac delta function approach},
author = {S. M. Abrarov and R. M. Abrarov},
journal= {arXiv preprint arXiv:0704.1936},
year = {2007}
}
Comments
9 pages, minor corrections