On the mean values of some multiplicative functions on the short interval

2013/02/03 by Alisa Sedunova, Sedunova, Alisa
Mathematics · #Analytic Number Theory Research #Differential Equations and Boundary Problems #FOS: Mathematics #Mathematical Approximation and Integration #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1302.0471

openalex publication_date 2013/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study the mean values of some multiplicative functions connected with the divisor function on the short interval of summation. The asymptocic values for such mean values are proved.

Citations

• On the difference between consecutive primes

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