A purely combinatorial approach to simultaneous polynomial recurrence modulo 1
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- by Ernie Croot, Neil Lyall and Alex Rice PDF
- Proc. Amer. Math. Soc. 143 (2015), 3231-3238 Request permission
Abstract:
Using purely combinatorial means we obtain results on simultaneous Diophantine approximation modulo 1 for systems of polynomials with real coefficients and no constant term.References
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Additional Information
- Ernie Croot
- Affiliation: School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332
- Email: ecroot@math.gatech.edu
- Neil Lyall
- Affiliation: Department of Mathematics, The University of Georgia, Athens, Georgia 30602
- MR Author ID: 813614
- Email: lyall@math.uga.edu
- Alex Rice
- Affiliation: Department of Mathematics, Bucknell University, Lewisburg, Pennsylvania 17837
- Address at time of publication: Department of Mathematics, University of Rochester, Rochester, NY 14627
- MR Author ID: 1003799
- Email: alex.rice@rochester.edu
- Received by editor(s): July 1, 2013
- Published electronically: April 6, 2015
- Additional Notes: The first author was partially supported by National Science Foundation Grant DMS-1001111.
The second author was partially supported by Simons Foundation Collaboration Grant for Mathematicians 245792 - Communicated by: Alexander Iosevich
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 3231-3238
- MSC (2010): Primary 11J54, 11J71
- DOI: https://doi.org/10.1090/proc/12333
- MathSciNet review: 3348767