@article{Chen2024, 
author = {Zhuoyu Chen and Wenpeng Zhang},
title = {A new reciprocity formula of Dedekind sums and its applications},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {5},
pages = {12814-12824},
keywords = {Dedekind sums, reciprocity formula, Dirichlet L-functions, the mean square value of L-function},
url = {https://www.sciopen.com/article/10.3934/math.2024626},
doi = {10.3934/math.2024626},
abstract = {Our main purpose of this article was using the analytic methods and the properties of Dirichlet    L-functions to study the properties of Dedekind sums and give a new reciprocity formula for it. As its applications, some exact calculating formula for one kind mean square value of Dirichlet    L-fuctions with the weight of the character sums were obtained.}
}