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arXiv:math/9905157 [math.NT]AbstractReferencesReviewsResources

On binary quadratic forms and the Hecke groups

Wendell Culp-Ressler

Published 1999-05-25, updated 2003-01-28Version 3

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.

Comments: 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
Categories: math.NT
Subjects: 11H55, 11F06, 11J70
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