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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Equidistribution and integral points for Drinfeld modules
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by D. Ghioca and T. J. Tucker PDF
Trans. Amer. Math. Soc. 360 (2008), 4863-4887 Request permission

Abstract:

We prove that the local height of a point on a Drinfeld module can be computed by averaging the logarithm of the distance to that point over the torsion points of the module. This gives rise to a Drinfeld module analog of a weak version of Siegel’s integral points theorem over number fields and to an analog of a theorem of Schinzel’s regarding the order of a point modulo certain primes.
References
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Additional Information
  • D. Ghioca
  • Affiliation: Department of Mathematics, McMaster University, 1280 Main Street West, Hamilton, Ontario, Canada L8S 4K1
  • Address at time of publication: Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge, Alberta, Canada T1K 3M4
  • MR Author ID: 776484
  • Email: dghioca@math.mcmaster.ca, dragos.ghioca@uleth.ca
  • T. J. Tucker
  • Affiliation: Department of Mathematics, Hylan Building, University of Rochester, Rochester, New York 14627
  • MR Author ID: 310767
  • ORCID: 0000-0002-8582-2198
  • Email: ttucker@math.rochester.edu
  • Received by editor(s): September 5, 2006
  • Published electronically: April 16, 2008
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 360 (2008), 4863-4887
  • MSC (2000): Primary 11G50; Secondary 11J68, 37F10
  • DOI: https://doi.org/10.1090/S0002-9947-08-04508-X
  • MathSciNet review: 2403707