Algebraic independence of the values of functions satisfying Mahler type functional equations under the transformation represented by a power relatively prime to the characteristic of the base field

Akinari Goto, Taka aki Tanaka

研究成果: Article査読

1 被引用数 (Scopus)

抄録

We give positive characteristic analogues of complex entire functions having remarkable property that their values as well as their derivatives of any order at any nonzero algebraic numbers are algebraically independent. These results are obtained by establishing a criterion for the algebraic independence of the values of Mahler functions as well as that of the algebraic independence of the Mahler functions themselves over any function fields of positive characteristic.

本文言語English
ページ(範囲)384-410
ページ数27
ジャーナルJournal of Number Theory
184
DOI
出版ステータスPublished - 2018 3

ASJC Scopus subject areas

  • Algebra and Number Theory

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