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On the Nevanlinna-Cartan Second Main Theorem for non-Archimedean Holomorphic Curves

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Abstract

Recenty, J. M. Anderson and A. Hinkkanen ([2]) introduced the integrated reduced counting functions for holomorphic curves and proved an improved version of second main theorem for holomorphic curves with integrated reduced counting functions in the complex case. In this paper, we will prove a version of second main theorem for non-Archimedean holomorphic curves intersecting hyperplanes in general position with integrated reduced counting functions.

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Acknowledgments

We wish to thank Professor William Cherry for helpful suggestions and sending some documents to us. And we wish to thank Referee for careful corrections of this article.

Funding

This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.04–2017.320.

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Authors and Affiliations

  1. Department of Mathematics, Thai Nguyen University of Education, Luong ngoc quyen street, Thai Nguyen City, Vietnam

    Ha Tran Phuong & Le Quang Ninh

  2. Department of Natural Science, Luang Prabang Teacher Training College, Luang Prabang, Laos

    Padaphet Inthavichit

Authors
  1. Ha Tran Phuong
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  2. Le Quang Ninh
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  3. Padaphet Inthavichit
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Corresponding authors

Correspondence to Ha Tran Phuong, Le Quang Ninh or Padaphet Inthavichit.

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The text was submitted by the author in English.

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Phuong, H.T., Ninh, L.Q. & Inthavichit, P. On the Nevanlinna-Cartan Second Main Theorem for non-Archimedean Holomorphic Curves. P-Adic Num Ultrametr Anal Appl 11, 299–306 (2019). https://doi.org/10.1134/S2070046619040046

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  • DOI: https://doi.org/10.1134/S2070046619040046

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