Translator Disclaimer
2019 Transcendence of numbers related with Cahen's constant
Daniel Duverney, Takeshi Kurosawa, Iekata Shiokawa
Mosc. J. Comb. Number Theory 8(1): 57-69 (2019). 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.

Citation

Download Citation

Daniel Duverney. Takeshi Kurosawa. Iekata Shiokawa. "Transcendence of numbers related with Cahen's constant." Mosc. J. Comb. Number Theory 8 (1) 57 - 69, 2019. https://doi.org/10.2140/moscow.2019.8.57

Information

Received: 10 January 2018; Accepted: 14 March 2018; Published: 2019
First available in Project Euclid: 3 December 2018

zbMATH: 07063263
MathSciNet: MR3864308
Digital Object Identifier: 10.2140/moscow.2019.8.57

Subjects:
Primary: 11J81

Rights: Copyright © 2019 Mathematical Sciences Publishers

JOURNAL ARTICLE
13 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.8 • No. 1 • 2019
MSP
Back to Top