The Selberg-Delange method in short intervals with an application

Z. Cui; J. Wu

Acta Arithmetica (2014)

  • Volume: 163, Issue: 3, page 247-260
  • ISSN: 0065-1036

Abstract

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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.

How to cite

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Z. Cui, and J. Wu. "The Selberg-Delange method in short intervals with an application." Acta Arithmetica 163.3 (2014): 247-260. <http://eudml.org/doc/279610>.

@article{Z2014,
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.},
author = {Z. Cui, J. Wu},
journal = {Acta Arithmetica},
keywords = {arithmetic functions; asymptotic results; Selberg-Delange method},
language = {eng},
number = {3},
pages = {247-260},
title = {The Selberg-Delange method in short intervals with an application},
url = {http://eudml.org/doc/279610},
volume = {163},
year = {2014},
}

TY - JOUR
AU - Z. Cui
AU - J. Wu
TI - The Selberg-Delange method in short intervals with an application
JO - Acta Arithmetica
PY - 2014
VL - 163
IS - 3
SP - 247
EP - 260
AB - 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.
LA - eng
KW - arithmetic functions; asymptotic results; Selberg-Delange method
UR - http://eudml.org/doc/279610
ER -

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