Four exponentials conjecture of Drinfeld modules
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- by Mao-Sheng Li
- Proc. Amer. Math. Soc. 149 (2021), 2375-2380
- DOI: https://doi.org/10.1090/proc/15389
- Published electronically: March 29, 2021
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Abstract:
Based on the algebraic independence of Drinfeld logarithms at algebraic points proved by Chang and Papanikolas, we show the four exponentials conjecture of Drinfeld modules, by following the typical approach in the classical transcendental number theory.References
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Bibliographic Information
- Mao-Sheng Li
- Affiliation: Department of Mathematical Sciences, Tsinghua University, Beijing 100084, People’s Republic of China
- Address at time of publication: Department of Physics, Southern University of Science and Technology, Shenzhen 518055, People’s Republic of China
- MR Author ID: 1165789
- ORCID: 0000-0002-0150-8004
- Email: li.maosheng.math@gmail.com
- Received by editor(s): January 29, 2020
- Received by editor(s) in revised form: January 31, 2020, August 13, 2020, and October 8, 2020
- Published electronically: March 29, 2021
- Additional Notes: The author would like to thank the National Natural Science Foundation of China (Grants No. 11371210, 11871295, and 12005092) for partial financial support.
- Communicated by: Matthew Papanikolas
- © Copyright 2021 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 149 (2021), 2375-2380
- MSC (2020): Primary 11J81, 11J93; Secondary 11T55
- DOI: https://doi.org/10.1090/proc/15389
- MathSciNet review: 4246790