Linear relations among algebraic points on tensor powers of the Carlitz module

Yen Tsung Chen; Ryotaro Harada

doi:10.2969/jmsj/91829182

Linear relations among algebraic points on tensor powers of the Carlitz module

Yen Tsung Chen
, Ryotaro Harada

応用数学科

研究成果: Article › 査読

抄録

In the present paper, we study linear equations on tensor powers of the Carlitz module using the theory of Anderson dual t-motives and a detailed analysis of a specific Frobenius difference equation. As an application, we derive some explicit sufficient conditions for the linear independence of Carlitz polylogarithms at algebraic points in both ∞-adic and v-adic settings.

本文言語	English
ページ（範囲）	943-966
ページ数	24
ジャーナル	Journal of the Mathematical Society of Japan
巻	77
号	4
DOI	https://doi.org/10.2969/jmsj/91829182
出版ステータス	Published - 10月 2025

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Linear relations among algebraic points on tensor powers of the Carlitz module

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