Asymptotics for a class of arithmetic functions
Wenguang Zhai
Acta Arithmetica, Tome 168 (2015), p. 135-160 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:279346
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     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}
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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/