The Selberg–Delange method in short intervals with an application
Volume 163 / 2014
Acta Arithmetica 163 (2014), 247-260
MSC: Primary 11N37.
DOI: 10.4064/aa163-3-4
Abstract
We establish a general mean value result for arithmetic functions over short intervals with the Selberg–Delange method. As an application, we generalize the Deshouillers–Dress–Tenenbaum arcsine law on divisors to the short interval case.