三次域基数分布中的次要项
数论
2026-02-04 v2
摘要
我们证明了关于三次域基数平均值的渐近公式及给定基数三次域数的次要项阶为，从而改进了McGown和Tucker的估计。我们也提供三次域基数矩的均匀估计。
引用
@article{arxiv.2601.19283,
title = {Secondary terms in the distribution of genus numbers of cubic fields},
author = {Tatsuya Yamada},
journal= {arXiv preprint arXiv:2601.19283},
year = {2026}
}
备注
Corrected coefficients in Theorem 2.1 and the derived results (including the main theorems). Also simplified the arguments by removing the unnecessary twisting by quadratic characters