Well-approximated points on linear extensions of elliptic curves
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- by Deanna M. Caveny and Robert Tubbs PDF
- Proc. Amer. Math. Soc. 138 (2010), 2745-2754 Request permission
Abstract:
We employ a result on linear forms in logarithms of algebraic points on commutative algebraic groups, a study initiated by Philippon and Waldschmidt, a so-called “local nullstellen inequality” of Brownawell, and some elementary analytic estimates to study the approximation properties of coordinates of non-generic points on a linear (algebraic) group extension of an elliptic curve.References
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Additional Information
- Deanna M. Caveny
- Affiliation: Department of Mathematics, College of Charleston, 66 George Street, Charleston, South Carolina 29424
- Email: cavenyd@cofc.edu
- Robert Tubbs
- Affiliation: Department of Mathematics, Campus Box 395, University of Colorado, Boulder, Colorado 80309
- Email: tubbs@euclid.colorado.edu
- Received by editor(s): December 13, 2009
- Published electronically: March 10, 2010
- Additional Notes: The authors would like to thank the referee(s) for valuable and insightful feedback, which contributed to substantial improvements in the manuscript and its results.
- Communicated by: Wen-Ching Winnie Li
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 2745-2754
- MSC (2010): Primary 11J89
- DOI: https://doi.org/10.1090/S0002-9939-10-10334-7
- MathSciNet review: 2644889