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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-aa163-3-4,
author = {Z. Cui and J. Wu},
title = {The Selberg-Delange method in short intervals with an application},
journal = {Acta Arithmetica},
volume = {166},
year = {2014},
pages = {247-260},
zbl = {1303.11108},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa163-3-4}
}
Z. Cui; J. Wu. The Selberg-Delange method in short intervals with an application. Acta Arithmetica, Tome 166 (2014) pp. 247-260. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa163-3-4/