Transactions of the American Mathematical Society

Author(s): Emre Alkan; Kevin Ford; Alexandru Zaharescu
Journal: Trans. Amer. Math. Soc. 361 (2009), 2263-2275.
MSC (2000): Primary 11N64, 11N36, 11K60
Posted: December 10, 2008
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Abstract: We prove a strong simultaneous Diophantine approximation theorem for values of additive and multiplicative functions provided that the functions have certain regularity on the primes.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 11N64, 11N36, 11K60

Emre Alkan
Affiliation: Department of Mathematics, Koc University, Rumelifeneri Yolu, 34450, Sariyer, Istanbul, Turkey
Email: ealkan@ku.edu.tr

Kevin Ford
Affiliation: Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, Illinois 61801
Email: ford@math.uiuc.edu

Alexandru Zaharescu
Affiliation: Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, Illinois 61801
Email: zaharesc@math.uiuc.edu

DOI: 10.1090/S0002-9947-08-04822-8
PII: S 0002-9947(08)04822-8
Keywords: Diophantine approximation, additive functions, multiplicative functions
Received by editor(s): June 6, 2006
Posted: December 10, 2008
Additional Notes: The second author was supported in part by the National Science Foundation Grant DMS-0555367.
The third author was supported in part by the National Science Foundation Grant DMS-0456615.
Copyright of article: Copyright 2008, American Mathematical Society

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