Asymptotics for a class of arithmetic functions

Wenguang Zhai. "Asymptotics for a class of arithmetic functions." Acta Arithmetica 170.2 (2015): 135-160. <http://eudml.org/doc/279346>.

@article{WenguangZhai2015,
abstract = {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.},
author = {Wenguang Zhai},
journal = {Acta Arithmetica},
keywords = {asymptotic formula; arithmetic function; divisor function; short interval},
language = {eng},
number = {2},
pages = {135-160},
title = {Asymptotics for a class of arithmetic functions},
url = {http://eudml.org/doc/279346},
volume = {170},
year = {2015},
}

TY - JOUR
AU - Wenguang Zhai
TI - Asymptotics for a class of arithmetic functions
JO - Acta Arithmetica
PY - 2015
VL - 170
IS - 2
SP - 135
EP - 160
AB - 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.
LA - eng
KW - asymptotic formula; arithmetic function; divisor function; short interval
UR - http://eudml.org/doc/279346
ER -