On the Approximation of Irrational Numbers with Rationals Restricted by Congruence Relations
نویسنده
چکیده
Usually this theorem is proved by using continued fractions; see Theorem 193 in [2]. S. Hartman [3] has restricted the approximating numbers f to those fractions, where u and v belong to fixed residue classes a and b with respect to some modulus s. He proved the following: For any irrational number £, any s > 1, and integers a and b, there are infinitely many integers u and v > 0 satisfying 2s (1)
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