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

• Autorzy: Shi-Chao Chen , Yong-Gao Chen
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11A25: Arithmetic functions; related numbers; inversion formulas
• 11N60: Distribution functions associated with additive and positive multiplicative functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2004
• Tom: 100
• Numer: 1
• Strony: 103-109

Daty

wydano

2004

Twórcy

autor

Shi-Chao Chen

• Department of Mathematics, Nanjing Normal University, Nanjing 210097, Jiangsu, China

autor

Yong-Gao Chen

• Department of Mathematics, Nanjing Normal University, Nanjing 210097, Jiangsu, China

Identyfikatory

DOI

10.4064/cm100-1-10