@article{Yang2025, 
author = {Zhishan Yang and Zongqi Yu},
title = {DDT Theorem over ideal in quadratic field},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {1},
pages = {1921-1934},
keywords = {Selberg-Delange method, the distribution, quadratic field, the arcsine distribution},
url = {https://www.sciopen.com/article/10.3934/math.2025089},
doi = {10.3934/math.2025089},
abstract = {Let    K be a quadratic field and        a   be a fixed integral ideal of        O    K  . In this paper, we investigate the distribution of ideals that divide        a   using the Selberg-Delange method. This is a natural variation of a result studied by Deshouillers, Dress, and Tenenbaum (often referred to as the DDT Theorem), and we find that this distribution converges to the arcsine distribution.}
}