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Scott T. Parsell
Diophantine approximation with primes and powers of two
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| Published: |
December 16, 2003
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| Keywords: |
Goldbach-type theorems, diophantine inequalities, applications of the Hardy-Littlewood method |
| Subject: |
11D75, 11J25, 11P32, 11P55 |
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Abstract
We investigate the values taken by real linear combinations
of two primes and a bounded number of powers of two. Under certain
conditions, we are able to demonstrate that these values can be made
arbitrarily close to any real number by taking sufficiently many powers
of two.
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| Acknowledgements
Research supported by a National Science Foundation Postdoctoral Fellowship (DMS-0102068)
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| Author information
Department of Mathematics, The Pennsylvania State University, McAllister Building, University Park, PA 16802.
parsell@alum.mit.edu
http://www.math.psu.edu/parsell
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