Artigo
Acesso aberto
Revisado por pares
Sums of higher divisor functions
2020; Elsevier BV; Volume: 220; Linguagem: Inglês
10.1016/j.jnt.2020.08.009
ISSN1096-1658
Autores Tópico(s)Advanced Mathematical Theories
ResumoLet dk(n) denote the k-th divisor function. In this paper, we study the asymptotic formula of the sum∑1≤n1,n2,…,nl≤xdk(n12+n22+⋯+nl2), where n1,n2,…,nl∈Z+, k≥4 and l≥3 are integers. Previously only the cases of k=2,3 are studied.
Referência(s)