Simultaneous approximation to algebraic numbers by rationals
نویسندگان
چکیده
منابع مشابه
Simultaneous Approximation to Pairs of Algebraic Numbers
The author uses an elementary lemma on primes dividing binomial coefficients and estimates for primes in arithmetic progressions to sharpen a theorem of J. Rickert on simultaneous approximation to pairs of algebraic numbers. In particular, it is proven that max {∣∣∣∣√2− p1 q ∣∣∣∣ , ∣∣∣∣√3− p2 q ∣∣∣∣} > 10−10q−1.8161 for p1, p2 and q integral. Applications of these estimates are briefly discussed.
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ژورنال
عنوان ژورنال: Acta Mathematica
سال: 1970
ISSN: 0001-5962
DOI: 10.1007/bf02392334