We introduce a homogeneous method to deal with summations with homogeneous factors. Then we use it to compute main terms in the asymptotics of distance energy of square lattices in circles, which relates to the conjecture of distinct distances by Erdos.
@article{arxiv.2211.16255,
title = {A homogeneous method in summation with log factors and its application},
author = {Zhipeng Lu},
journal= {arXiv preprint arXiv:2211.16255},
year = {2022}
}