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A note on algebraic independence criterion for Laurent series in positive characteristic

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Abstract

We study the algebraic independence of Laurent series in positive characteristic which can be fast approximated by rational functions. This can be seen as a completion of the results obtained by Chaichana and Laohakosol (Period Math Hung 55(1):35–59, 2007).

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References

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Acknowledgements

The author would like to thank heartily Jia-Yan YAO for interesting discussions on this subject. He would like also to thank the National Natural Science Foundation of China (Grants No. 11371210 and No. 11871295) for partial financial support.

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  1. Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China

    Mao-Sheng Li

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  1. Mao-Sheng Li
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Correspondence to Mao-Sheng Li.

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Li, MS. A note on algebraic independence criterion for Laurent series in positive characteristic. Period Math Hung 83, 81–87 (2021). https://doi.org/10.1007/s10998-020-00357-8

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  • DOI: https://doi.org/10.1007/s10998-020-00357-8

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