Geodesic
Asymptotics for a class of arithmetic functions
Wenguang Zhai1
1 Department of Mathematics China University of Mining and Technology Beijing, 100083, China
Acta Arithmetica, Tome 170 (2015) no. 2, pp. 135-160

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $d_4(n)$. We show that the corresponding error estimate is the best one can obtain by the present methods of analytic number theory.
DOI : 10.4064/aa170-2-3
Keywords: study asymptotic behaviour summatory function class arithmetic functions these functions generalizations well known general dimensional divisor function corresponding error estimate best obtain present methods analytic number theory

Wenguang Zhai 1

1 Department of Mathematics China University of Mining and Technology Beijing, 100083, China 
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Wenguang Zhai. Asymptotics for a class of arithmetic functions. Acta Arithmetica, Tome 170 (2015) no. 2, pp. 135-160. doi: 10.4064/aa170-2-3

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