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arXiv · 0704.1936

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

S. M. Abrarov·R. M. Abrarov
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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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S. M. Abrarov, R. M. Abrarov. 2007-04-20. Identities for number series and their reciprocals: Dirac delta function approach. https://arxiv.org/abs/0704.1936

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