Algebraic independence of the values of Mahler functions associated with a certain continued fraction expansion

研究成果: Article査読

2 被引用数 (Scopus)

抄録

It is proved that the function (a formula is presented), which can be expressed as a certain continued fraction, takes algebraically independent values at any distinct nonzero algebraic numbers inside the unit circle if the sequence {Rk}k≥0 is the generalized Fibonacci numbers.

本文言語English
ページ(範囲)38-48
ページ数11
ジャーナルJournal of Number Theory
105
1
DOI
出版ステータスPublished - 2004 3

ASJC Scopus subject areas

  • Algebra and Number Theory

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