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Algebraic Independence of Sums of Reciprocals of the Fibonacci Numbers
Author(s) -
Nishioka Kumlko,
Tanaka TakaAki,
Toshimitsu Takeshi
Publication year - 1999
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19992020108
Subject(s) - mathematics , fibonacci number , independence (probability theory) , algebraic number , sequence (biology) , zero (linguistics) , lucas sequence , discrete mathematics , fibonacci polynomials , combinatorics , binary number , recurrence relation , pure mathematics , arithmetic , mathematical analysis , statistics , linguistics , philosophy , biology , orthogonal polynomials , genetics , difference polynomials
Algebraic independence of the numberswhere { R n } n ≥0 is a sequence of integers satisfying a binary linear recurrence relation and {b h } h≥0 is a periodic sequence of algebraic numbers not identically zero, are studied.