Diophantine approximation with arithmetic functions, I

Details Diophantine approximation with arithmetic functions, I Diophantine approximation with arithmetic functions, I

2008-05-19

arxiv.org/abs/0805.2867v1

Trans. Amer. Math. Soc. 361 (2009), 2263-2275.

Mathematics

Number Theory

15 pages. To appear in Trans. Amer. Math. Soc

Scientific paper

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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