论文标题
仿射半群的分解长度分布III：具有许多发电机的数值半群的模块化等分
Factorization length distribution for affine semigroups III: modular equidistribution for numerical semigroups with arbitrarily many generators
论文作者
论文摘要
对于具有指定的（不一定是最小）发电机列表的数值半群，我们描述了相对于任意模量的分数长度的渐近分布。特别是，我们证明了分解长度在所有一致性类别中都等分，这些类别并未通过模块化考虑而无效地排除。
For numerical semigroups with a specified list of (not necessarily minimal) generators, we describe the asymptotic distribution of factorization lengths with respect to an arbitrary modulus. In particular, we prove that the factorization lengths are equidistributed across all congruence classes that are not trivially ruled out by modular considerations.
