Three-dimensional exponential sums under constant perturbation

Jiamin Li; Jing Ma

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arXiv · 2302.05870

Three-dimensional exponential sums under constant perturbation

Jiamin Li·Jing Ma

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Abstract

In this paper, by generalizing Bombieri and Iwaniec's double large sieve inequality, we obtain an estimation on a type of three-dimensional exponential sums with constant perturbation. As an application of our estimation, we obtain an asymptotic formula for a sum involving the Mangoldt function and the integral part function. This type of sum was originally studied by Bordelles-Dai-Heyman-Pan-Shparlinski.

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Jiamin Li, Jing Ma. 2023-02-12. Three-dimensional exponential sums under constant perturbation. https://arxiv.org/abs/2302.05870

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