TRANSCENDENCY RESULTS FOR SUMS OF RECIPROCALS OF LINEAR RECURRENCES

Authors
BECKER PG TOPFER T
Citation
Pg. Becker et T. Topfer, TRANSCENDENCY RESULTS FOR SUMS OF RECIPROCALS OF LINEAR RECURRENCES, Mathematische Nachrichten, 168, 1994, pp. 5-17
Citations number
16
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematische Nachrichten → ACNP
ISSN journal
0025584X
Volume
168
Year of publication
1994
Pages
5 - 17
Database
ISI
SICI code
0025-584X(1994)168:<5:TRFSOR>2.0.ZU;2-L
Abstract
Suppose that {R(n)}n not-equal 0 is a linear recursive sequence and d greater-than-or-equal-to 2 is an integer. Under suitable conditions on {R(n)} and d we show that [GRAPHICS] and similarly constructed number s are transcendental. Special attention is given to the case of binary recurrences.