New York Journal of Mathematics
Volume 9 (2003) 363-371


Scott T. Parsell

Diophantine approximation with primes and powers of two

Published: December 16, 2003
Keywords: Goldbach-type theorems, diophantine inequalities, applications of the Hardy-Littlewood method
Subject: 11D75, 11J25, 11P32, 11P55

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.


Research supported by a National Science Foundation Postdoctoral Fellowship (DMS-0102068)

Author information

Department of Mathematics, The Pennsylvania State University, McAllister Building, University Park, PA 16802.