A Metric Result concerning the Approximation of Real Numbers by Continued Fractions
نویسنده
چکیده
Theorems of the same type with greater constants on the right-hand side of (1.1) were proved by Hartman [3] and Koksma [6]. Recently, the author has shown [1] that the theorem of Uchiyama no longer holds if the constant s14 is replaced by any smaller number. Assuming weaker arithmetical restrictions in (1.2) on numerators and denominators of the approximants, the constant in (1.1) can be diminished. For prime moduli/?, the author has shown (see [2]):
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