On the average of the sum-of-a-divisors function

Shi-Chao Chen; Yong-Gao Chen

Colloquium Mathematicae (2004)

  • Volume: 100, Issue: 1, page 103-109
  • ISSN: 0010-1354

Abstract

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We prove an Ω result on the average of the sum of the divisors of n which are relatively coprime to any given integer a. This generalizes the earlier result for a prime proved by Adhikari, Coppola and Mukhopadhyay.

How to cite

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Shi-Chao Chen, and Yong-Gao Chen. "On the average of the sum-of-a-divisors function." Colloquium Mathematicae 100.1 (2004): 103-109. <http://eudml.org/doc/283868>.

@article{Shi2004,
abstract = {We prove an Ω result on the average of the sum of the divisors of n which are relatively coprime to any given integer a. This generalizes the earlier result for a prime proved by Adhikari, Coppola and Mukhopadhyay.},
author = {Shi-Chao Chen, Yong-Gao Chen},
journal = {Colloquium Mathematicae},
keywords = {sum of divisors function; Omega theorem},
language = {eng},
number = {1},
pages = {103-109},
title = {On the average of the sum-of-a-divisors function},
url = {http://eudml.org/doc/283868},
volume = {100},
year = {2004},
}

TY - JOUR
AU - Shi-Chao Chen
AU - Yong-Gao Chen
TI - On the average of the sum-of-a-divisors function
JO - Colloquium Mathematicae
PY - 2004
VL - 100
IS - 1
SP - 103
EP - 109
AB - We prove an Ω result on the average of the sum of the divisors of n which are relatively coprime to any given integer a. This generalizes the earlier result for a prime proved by Adhikari, Coppola and Mukhopadhyay.
LA - eng
KW - sum of divisors function; Omega theorem
UR - http://eudml.org/doc/283868
ER -

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