Diophantine approximation with arithmetic functions, I

Emre Alkan; Kevin Ford; Alexandru Zaharescu

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

Diophantine approximation with arithmetic functions, I

Emre Alkan, Kevin Ford, Alexandru Zaharescu

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	2263-2275
Number of pages	13
Journal	Transactions of the American Mathematical Society
Volume	361
Issue number	5
DOIs	https://doi.org/10.1090/S0002-9947-08-04822-8
State	Published - May 2009

Keywords

Additive functions
Diophantine approximation
Multiplicative functions

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Online availability

10.1090/S0002-9947-08-04822-8

Library availability

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Diophantine approximation with arithmetic functions, I

Abstract

Keywords

ASJC Scopus subject areas

Online availability

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