Projective metric number theory

Anish Ghosh, Alan Haynes

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


In this paper we consider the probabilistic theory of Diophantine approximation in projective space over a completion of . Using the projective metric studied in [Ann. Sc. Norm. Super. Pisa Cl. Sci. (4) 23 (1996), no. 2, 211–248] we prove the analogue of Khintchine's theorem in projective space. For finite places and in higher dimension, we are able to completely remove the condition of monotonicity and establish the analogue of the Duffin–Schaeffer conjecture.
Original languageEnglish
Pages (from-to)39-50
Number of pages12
JournalJournal für die reine und angewandte Mathematik (Crelles Journal)
Issue number712
Early online date31 Oct 2013
Publication statusPublished - Mar 2016

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