2023/02/12 by Jiamin Li, Jing Ma, Li, Jiamin +1
Mathematics · #Analytic Number Theory Research #FOS: Mathematics #Limits and Structures in Graph Theory #Number Theory (math.NT) #Point processes and geometric inequalities
paper · pdf · doi:10.48550/arxiv.2302.05870
openalex publication_date 2023/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.