On the fourth power moment of Δ(x) and E(x) in short intervals

2008/05/11 by Yoshio Tanigawa, Tanigawa, Yoshio, Wenguang Zhai +1
Mathematics · #11M06 #11N37 #Algebraic and Geometric Analysis #Analytic Number Theory Research #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT)

paper · doi:10.48550/arxiv.0805.1525

openalex publication_date 2008/05/11 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

Let Δ(x) and E(x) be error terms of the sum of divisor function and the mean square of the Riemann zeta function, respectively. In this paper their fourth power moments for short intervals of Jutila's type are considered. We get an asymptotic formula for U in some range.

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