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Bulletin of the London Mathematical Society Advance Access published online on July 3, 2009
Bulletin of the London Mathematical Society, doi:10.1112/blms/bdp051
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© 2009 London Mathematical Society

Diophantine approximation with arithmetic Functions, II

Emre Alkan

Department of Mathematics
Koc University
Rumelifeneri Yolu
34450 Sariyer
Istanbul
Turkey
ealkan@ku.edu.tr

Kevin Ford and Alexandru Zaharescu

Department of Mathematics
University of Illinois at Urbana-Champaign
1409 W. Green Street
Urbana, IL 61801
USA
ford@math.uiuc.edu

Received 26 May 2008. Revision received 24 February 2009.

We prove that real numbers can be well approximated by the normalized Fourier coefficients of newforms.

2000 Mathematics Subject Classification 11F30, 11K60, 11N64.

The first author was supported in part by TUBITAK Career Award and Distinguished Young Scholar Award, TUBA-GEBIP of Turkish Academy of Sciences. The second author was supported in part by National Science Foundation Grant DMS-0555367. The third author was supported in part by National Science Foundation Grant DMS-0456615.


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