Asymptotics for a class of arithmetic functions

• Autorzy: Wenguang Zhai
• Języki publikacji: EN

Abstrakty

EN

We study the asymptotic behaviour of the summatory function of a class of arithmetic functions. These functions are generalizations of the well-known general 4-dimensional divisor function d₄(n). We show that the corresponding error estimate is the best one can obtain by the present methods of analytic number theory.

Kategorie tematyczne

• 11N37: Asymptotic results on arithmetic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2015
• Tom: 170
• Numer: 2
• Strony: 135-160

Daty

wydano

2015

Twórcy

autor

Wenguang Zhai

• Department of Mathematics, China University of Mining and Technology, Beijing, 100083, China

Identyfikatory

DOI

10.4064/aa170-2-3