Catalan’s Constant is Irrational

EasyChair Preprint 9088, version 3

Abstract

Catalan’s constant G has been called arguably the most basic constant whose irrationality and transcendence (though strongly suspected) remain unproven. In this paper we show that G is indeed irrational.

Keyphrases: Catalan’s constant, Irrationality, Riemann series theorem, series, transcendental number

@booklet{EasyChair:9088,
  author    = {Valerii Sopin},
  title     = {Catalan’s Constant is Irrational},
  howpublished = {EasyChair Preprint 9088},
  year      = {EasyChair, 2022}}