Integrals evaluated in terms of Catalan's constant. Issue 550 (3rd February 2017)

• Record Type: Journal Article
• Authors: Jameson, Graham; Lord, Nick
• Is Part Of: Mathematical gazette. Volume 101:Issue 550(2017)
• Page Start: 38
• Page End: 49
• Publication Date: 2017-02-03
• Subjects: Mathematics -- Periodicals; Mathématique; Mathematik; Mathematics; Periodicals; Ressource Internet (Descripteur de forme); Périodique électronique (Descripteur de forme); Zeitschrift; Online-Publikation; 510
• DOI: 10.1017/mag.2017.4
• Languages: English
• ISSNs: 0025-5572

Abstract

Abstract : Catalan's constant, named after E. C. Catalan (1814-1894) and usually denoted by G, is defined by It is, of course, a close relative of The 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 .