An integral representation of divisor function. An equation for prime numbers

E. E. Kholupenko

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arXiv · 1109.3580

An integral representation of divisor function. An equation for prime numbers

E. E. Kholupenko

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Abstract

A representation of divisor function $τ(n)\equiv σ_{0}(n)$ by means of logarithmic residue of a function of complex variable is suggested. This representation may be useful theoretical instrument for further investigations of properties of natural numbers.

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E. E. Kholupenko. 2011-09-16. An integral representation of divisor function. An equation for prime numbers. https://arxiv.org/abs/1109.3580

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