Integrals evaluated in terms of Catalan's constant

Author:

Jameson Graham,Lord Nick

Abstract

Catalan's constant, named after E. C. Catalan (1814-1894) and usually denoted by G, is defined byIt is, of course, a close relative ofThe numerical value is G ≈ 0.9159656. It is not known whether G is irrational: this remains a stubbornly unsolved problem. The best hope for a solution might appear to be the method of Beukers [1] to prove the irrationality of ζ (2) directly from the series, but it is not clear how to adapt this method to G.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference10 articles.

1. Math Overflow, Conjectured integral for Catalan's constant, accessed October 2016 at: http://mathoverflow.net/questions/181635

2. Bradley David M. , Representations of Catalan's constant (2001), available at: http://researchgate.net/publication/2325473

3. Variations on a theme – Euler and the logsine integral

4. A Note on the Irrationality of ζ(2) and ζ(3)

5. 96.38 Evaluating integrals using polar areas

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