Diophantine approximation with arithmetic functions, I

Alkan, Emre; Ford, Kevin; Zaharescu, Alexandru

doi:10.1090/S0002-9947-08-04822-8

Diophantine approximation with arithmetic functions, I
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by Emre Alkan, Kevin Ford and Alexandru Zaharescu PDF

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

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.

References

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