On binary quadratic forms and the Hecke groups
数论
2007-05-23 v3
摘要
We present a theory of reduction of binary quadratic forms with coefficients in Z[lambda], where lambda is the minimal translation in a Hecke group. We generalize from the modular group Gamma(1) = SL(2,Z) to the Hecke groups and make extensive use of modified negative continued fractions.
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