Transcendence of certain sequences of algebraic numbers

Mathias L. Laursen

doi:10.1007/s40993-024-00553-2

Transcendence of certain sequences of algebraic numbers

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

Abstract

Using Schmidt’s Subspace Theorem, this paper improves and extends an existing transcendence result for sequences of algebraic numbers. The theorems thus produced correspond to a central theorem on the irrationality of sequences due to Erdős.

Original language	English
Article number	70
Journal	Research in Number Theory
Volume	10
Issue	3
Number of pages	25
DOIs	https://doi.org/10.1007/s40993-024-00553-2
Publication status	Published - Sept 2024

Keywords

11J81
11J87
Algebraic degree
Irrationality
Schmidt’s Subspace Theorem
Series of algebraic numbers
Transcendence

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title = "Transcendence of certain sequences of algebraic numbers",

abstract = "Using Schmidt{\textquoteright}s Subspace Theorem, this paper improves and extends an existing transcendence result for sequences of algebraic numbers. The theorems thus produced correspond to a central theorem on the irrationality of sequences due to Erd{\H o}s.",

keywords = "11J81, 11J87, Algebraic degree, Irrationality, Schmidt{\textquoteright}s Subspace Theorem, Series of algebraic numbers, Transcendence",

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KW - Irrationality

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Transcendence of certain sequences of algebraic numbers

Abstract

Keywords

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