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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-aa170-2-3, author = {Wenguang Zhai}, title = {Asymptotics for a class of arithmetic functions}, journal = {Acta Arithmetica}, volume = {168}, year = {2015}, pages = {135-160}, zbl = {06471886}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa170-2-3} }
Wenguang Zhai. Asymptotics for a class of arithmetic functions. Acta Arithmetica, Tome 168 (2015) pp. 135-160. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa170-2-3/