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arXiv · 2502.09999

Algebraic Independence Measures for Values of E-functions and M-functions

Colin Faverjon·Boris Adamczewski
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Abstract

In this article, we establish a Liouville-type inequality for polynomials evaluated at the values of arbitrary Siegel E-functions at non-zero algebraic points. Additionally, we provide a comparable result within the framework of Mahler M -functions.

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Colin Faverjon, Boris Adamczewski. 2025-02-14. Algebraic Independence Measures for Values of E-functions and M-functions. https://arxiv.org/abs/2502.09999

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