Integer points close to algebraic curves

Research output: Contribution to journalArticlepeer-review


For any algebraic curve with unbounded branches in the plane, two numbers in [0, ∞] are defined that measure how closely to the curve it is possible to find infinitely many integer points. These numbers are shown to be 1 for almost all such curves. The state of the art in estimating these numbers for several classes of curves is also discussed.

Original languageEnglish (US)
Pages (from-to)10-26
Number of pages17
JournalJournal of the London Mathematical Society
Issue number1
StatePublished - 2002

ASJC Scopus subject areas

  • Mathematics(all)


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