arXiv:0805.2867 [math.NT]AbstractReferencesReviewsResources
Diophantine approximation with arithmetic functions, I
Emre Alkan, Kevin Ford, Alexandru Zaharescu
Published 2008-05-19Version 1
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.
Comments: 15 pages. To appear in Trans. Amer. Math. Soc
Journal: Trans. Amer. Math. Soc. 361 (2009), 2263-2275.
Categories: math.NT
Keywords: arithmetic functions, strong simultaneous diophantine approximation theorem, multiplicative functions, regularity
Tags: journal article
Related articles: Most relevant | Search more
arXiv:1910.08452 [math.NT] (Published 2019-10-18)
On two conjectures of Sierpiński concerning the arithmetic functions $σ$ and $φ$
arXiv:2403.19320 [math.NT] (Published 2024-03-28)
Mean values of arithmetic functions and application to sums of powers
arXiv:1811.02556 [math.NT] (Published 2018-11-06)
On error term estimates à la Walfisz for mean values of arithmetic functions