Undergraduate seminar homework #1
To be handed in by Tuesday, March 23, 1998.
- Find the continued fraction expansion of 21/13, 71/2,
611/2
-
Show that equivalent quadratic irrationalities have the same
discriminant.
-
Show that if
a=[a0,a1,...,ak] then its
conjugate satisfies
-1/a' =
[ak,ak-1,...,a0].
-
If d>0 is not a square then d1/2 =
[a0;a1,...,ak]
Optional: Also ak = 2 a0.
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