关于二元二次型与 Hecke 群
数论
2007-05-23 v3
摘要
我们给出系数在 Z[lambda] 中的二元二次型的约化理论，其中 lambda 是 Hecke 群中的最小平移。我们将模群 Gamma(1) = SL(2,Z) 推广到 Hecke 群，并广泛使用了修正的负连分数。
引用
@article{arxiv.math/9905157,
title = {On binary quadratic forms and the Hecke groups},
author = {Wendell Culp-Ressler},
journal= {arXiv preprint arXiv:math/9905157},
year = {2007}
}
备注
17 pages. See also http://www.fandm.edu/people/w_ressler Changes from v. 2: I dispensed with the incorrect Lemma 5 and replaced the incorrect Lemma 8 with a true Theorem 1, which characterizes reduced numbers for the Hecke groups