We prove an upper bound for exponential sums associated to the divisor functions localized on multidimensional lattices of positive integers. The standard divisor function $d_k(n)$ is recovered as a special case.
A note on the exponential sums of the localized divisor functions / Coppola, G.; Laporta, M.. - (2017), pp. 25-28. (Intervento presentato al convegno Sixth International Conference "Analytic and Probabilistic Methods in Number Theory" (Palanga, Lithuania, 11-17 September 2016) tenutosi a Palanga nel 11-17 September 2016).
A note on the exponential sums of the localized divisor functions
Laporta M.
2017
Abstract
We prove an upper bound for exponential sums associated to the divisor functions localized on multidimensional lattices of positive integers. The standard divisor function $d_k(n)$ is recovered as a special case.File in questo prodotto:
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