On the Dirichlet divisor problem in short intervals

2012/09/05 by Aleksandar Ivić, Ivic, Aleksandar, Wenguang Zhai +1
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Coding theory and cryptography #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1209.0872

openalex publication_date 2012/09/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present several new results involving Δ(x+U)-Δ(x), where U = o(x) and Δ(x):=∑_{n≤ x}d(n)-xlog x-(2γ-1)x is the error term in the classical Dirichlet divisor problem.

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