E. E. Kholupenko
Published 2011-09-16Version 1
A representation of divisor function $\tau(n)\equiv \sigma_{0}(n)$ 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.
Comments: 5 text pages, 2 figures
On the $L^1$ norm of an exponential sum involving the divisor function
Conjectures of sums of divisor functions in $\mathbb F_q[T]$ associated to symplectic and orthogonal regimes
An Integral representation of $\mathop{\mathcal R}(s)$ due to Gabcke
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