Algebraic independence properties of the fredholm series

J. H. Loxton, A. J. Van Der Poorten

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16 Citations (Scopus)

Abstract

We consider algebraic independence properties of series such as [Formula Omitted] We show that the functions fr(z) are algebraically independent over the rational functions. Further, if αrs, (r = 2, 3, 4, …; s = 1, 2, 3, …) are algebraic numbers with [Formula Omitted], we obtain an explicit necessary and sufficient condition for the algebraic independence of the numbers fr-(αrs) over the rationals.

Original languageEnglish
Pages (from-to)31-45
Number of pages15
JournalJournal of the Australian Mathematical Society
Volume26
Issue number1
DOIs
Publication statusPublished - 1978
Externally publishedYes

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