On the transcendence of certain real numbers
Veekesh Kumar, Bill Mance
TL;DR
This paper investigates the transcendence of specific infinite sums and products, utilizing the Subspace theorem to improve upon previous results in the field.
Contribution
It advances the understanding of transcendence by refining existing theorems related to infinite sums and products using the Subspace theorem.
Findings
Improved conditions for transcendence of certain sums and products
Extended previous results by Hancl and Rucki
Enhanced mathematical techniques for transcendence proofs
Abstract
In this article we discuss the transcendence of certain infinite sums and products by using the Subspace theorem. In particular we improve the result of Han\v{c}l and Rucki \cite{hancl3}.
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