Geodesic
Conjugacy Classes and Binary Quadratic Forms for the Hecke Groups
Canadian mathematical bulletin, Tome 56 (2013) no. 3, pp. 570-583

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DOI

In this paper we give a lower bound with respect to block length for the trace of non-elliptic conjugacy classes of the Hecke groups. One consequence of our bound is that there are finitely many conjugacy classes of a given trace in anyHecke group. We show that another consequence of our bound is that class numbers are finite for related hyperbolic $\mathbb{Z}\left[ \text{ }\!\!\lambda\!\!\text{ } \right]$ -binary quadratic forms. We give canonical class representatives and calculate class numbers for some classes of hyperbolic $\mathbb{Z}\left[ \text{ }\!\!\lambda\!\!\text{ } \right]$ -binary quadratic forms.
DOI : 10.4153/CMB-2012-020-x
Mots-clés : 11F06, 11E16, 11A55, Hecke groups, conjugacy class, quadratic forms 
Hoang, Giabao; Ressler, Wendell. Conjugacy Classes and Binary Quadratic Forms for the Hecke Groups. Canadian mathematical bulletin, Tome 56 (2013) no. 3, pp. 570-583. doi: 10.4153/CMB-2012-020-x
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     title = {Conjugacy {Classes} and {Binary} {Quadratic} {Forms} for the {Hecke} {Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {570--583},
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