A Voronoi summation formula for the shifted triple divisor function

Alessandro Fazzari

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arXiv · 2306.15553

A Voronoi summation formula for the shifted triple divisor function

Alessandro Fazzari

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Abstract

In this paper, we prove a Voronoi summation formula for the shifted 3-fold divisor function twisted by additive characters. As the main tool, we provide the functional equation for the shifted $GL(3)$ Estermann function.

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Alessandro Fazzari. 2023-06-27. A Voronoi summation formula for the shifted triple divisor function. https://arxiv.org/abs/2306.15553

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