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arXiv · 2502.19079

Algebraic independence of infinite series

Jaroslav Hancl·Mathias L. Laursen·Simon Kristensen
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Abstract

We give conditions on a finite set of series of rational numbers to ensure that they are algebraically independent. Specialising our results to polynomials of lower degree, we also obtain new results on irrationality and $mathbb{Q}$-linear independence of such series.

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Jaroslav Hancl, Mathias L. Laursen, Simon Kristensen. 2025-02-26. Algebraic independence of infinite series. https://arxiv.org/abs/2502.19079

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