On Rational Approximations to Euler's Constant 𝛾 and to 𝛾+log(𝑎/𝑏)

The author continues to study series transformations for the Euler-Mascheroni constant 𝛾. Here, we discuss in detail recently published results of A. I. Aptekarev and T. Rivoal who found rational approximations to 𝛾 and 𝛾+log𝑞 (𝑞∈ℚ>0) defined by linear recurrence formulae. The main purpose of thi...

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Bibliographic Details
Main Author: Carsten Elsner
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2009/626489
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