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

2007/04/16 by Sanjar M. Abrarov, S. M. Abrarov, Abrarov, S. M. +2
Computer Science · Mathematics · #11A41 #11N05 #Computability, Logic, AI Algorithms #FOS: Mathematics #General Mathematics (math.GM) #Numerical Methods and Algorithms #math.GM #msc:11A41 #msc:11N05

paper · pdf · doi:10.48550/arxiv.0704.1936

9 pages, minor corrections

openalex publication_date 2007/04/16 · arxiv created 2007/04/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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