Arithmetic properties of solutions of certain functional equations with transformations represented by matrices including a negative entry

研究成果: Article査読

抄録

Mahler's method gives algebraic independence results for the values of functions of several variables satisfying certain functional equations under the transformations of the variables represented as a kind of the multiplicative action of matrices with integral entries. In the Mahler's method, the entries of those matrices must be nonnegative; however, in the special case stated in this paper, one can admit those matrices to have a negative entry. We show the algebraic independence of the values of certain functions satisfying functional equations under the transformation represented by such matrices, expressing those values as linear combinations of the values of ordinary Mahler functions.

本文言語English
ページ(範囲)211-223
ページ数13
ジャーナルTokyo Journal of Mathematics
37
1
DOI
出版ステータスPublished - 2014 6 1

ASJC Scopus subject areas

  • 数学 (全般)

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