Daniel Duverney, Takeshi Kurosawa and Iekata
Shiokawa
Vol. 8 (2019), No. 1, 57–69
DOI: 10.2140/moscow.2019.8.57
Abstract
Cahen’s constant is defined by the alternating sum of reciprocals of terms of
Sylvester’s sequence minus 1. Davison and Shallit proved the transcendence of the
constant and Becker improved it. In this paper, we study rationality of functions
satisfying certain functional equations and generalize the result of Becker by a variant
of Mahler’s method.
