On binary quadratic forms and the Hecke groups

Details On binary quadratic forms and the Hecke groups On binary quadratic forms and the Hecke groups

1999-05-25

arxiv.org/abs/math/9905157v3

Mathematics

Number Theory

17 pages. See also http://www.fandm.edu/people/w_ressler Changes from v. 2: I dispensed with the incorrect Lemma 5 and replace

Scientific paper

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.

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