On binary quadratic forms and the Hecke groups

Wendell Culp-Ressler

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On binary quadratic forms and the Hecke groups

Wendell Culp-Ressler

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Abstract

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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Wendell Culp-Ressler. 2003-01-28. On binary quadratic forms and the Hecke groups. https://arxiv.org/abs/math/9905157

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