@article{Zhou2022, 
author = {Li Zhou and Liqun Hu},
title = {Sum of the triple divisor function of mixed powers},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {7},
pages = {12885-12896},
keywords = {circle method, divisor problem, asymptotic formula, mixed powers},
url = {https://www.sciopen.com/article/10.3934/math.2022713},
doi = {10.3934/math.2022713},
abstract = {Let        d    3    (  n  ) denote the 3-th divisor function. In this paper, we study the asymptotic formula of the sum          ∑                                                      1              ⩽                              n                1                            ,                              n                2                            ⩽                              X                                                      1                    2                                                                                                          1              ⩽                              n                3                            ⩽                              X                                                      1                    k                                                                                                d    3    (      n    1    2    +      n    2    2    +      n    3    k    )with        n    1    ,      n    2    ,      n    3    ∈            Z        +   and    k  ⩾  3 be an integer. Previously only the case of    k  =  2 is studied.}
}