An extension of a result of SierpiΕski
β
M.A. Nyblom
π
Article
π
2004
π
Elsevier Science
π
English
β 231 KB
As an application of Roth's theorem concerning the rational approximation of algebraic numbers, two sufficiency conditions are derived for an alternating series of rational terms to converge to a transcendental number. The first of these conditions represents an extension of an earlier condition of