SYMMETRY AND SPECIALIZABILITY IN CONTINUED FRACTIONS

@inproceedings{Cohn1996SYMMETRYAS,
  title={SYMMETRY AND SPECIALIZABILITY IN CONTINUED FRACTIONS},
  author={Henry Cohn},
  year={1996}
}
n=0 1 x2n = [0, x − 1, x + 2, x, x, x − 2, x, x + 2, x, x − 2, x + 2, . . . ], with x = 2. A continued fraction over Q(x), such as this one, with the property that each partial quotient has integer coefficients, is called specializable, because when one specializes by choosing an integer value for x, one gets immediately a continued fraction whose partial quotients are integers. The continued fraction one obtains is then called specialized. We prove a theorem (Theorem 7.12) that determines all… CONTINUE READING

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