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Jun 7, 2019 at 20:51 comment added Will Jagy @StanleyYaoXiao seems likely, but I do not know how tight the relationship would be. There was an original definition of "reduced" for indefinite forms, perhaps that gives an upper bound on the number of reduced forms in the cycle $\langle a, ? , ?? \rangle $ for a fixed integer $a.$ SEE ALSO my mathoverflow.net/questions/264315/…
Jun 7, 2019 at 18:49 comment added Stanley Yao Xiao This is very interesting! I suppose then that the number of small representable integers by an indefinite binary quadratic form are then intimately related to the period of the continued fraction?
Jun 6, 2019 at 21:41 history edited Will Jagy CC BY-SA 4.0
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Jun 6, 2019 at 21:19 history edited Will Jagy CC BY-SA 4.0
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Jun 6, 2019 at 21:13 history answered Will Jagy CC BY-SA 4.0