Diophantine approximation with arithmetic functions, I

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)2263-2275
Number of pages13
JournalTransactions of the American Mathematical Society
Issue number5
StatePublished - May 2009


  • Additive functions
  • Diophantine approximation
  • Multiplicative functions

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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