The irrationality of $\log (1+1/q) \log (1-1/q)$
نویسندگان
چکیده
منابع مشابه
Irrationality Measures of log 2 and π/√3
1. Irrationality Measures An irrationality measure of x ∈ R \Q is a number μ such that ∀ > 0,∃C > 0,∀(p, q) ∈ Z, ∣∣∣∣x− pq ∣∣∣∣ ≥ C qμ+ . This is a way to measure how well the number x can be approximated by rational numbers. The measure is effective when C( ) is known. We denote inf {μ | μ is an irrationality measure of x } by μ(x), and we call it the irrationality measure of x. By definition,...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1998
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-98-01764-4