A quantitative Khintchine-Groshev type theorem over a field of formal series

J. Levesley, Maurice Dodson, Simon Kristensen

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An asymptotic formula which holds almost everywhere is obtained for the number of solutions to theDiophantine inequalities double vertical barqA - pdouble vertical bar <¿(double vertical bargdouble vertical bar), where A is an n x m matrix (m > 1) over the field of formal Laurent series with coefficients from a finite field, and p and q are vectors of polynomials over the same finite field.
Original languageEnglish
Pages (from-to)171-177
Number of pages6
JournalIndagationes Mathematicae
Issue number2
Publication statusPublished - 20 Jun 2005


  • Diophantine approximation,
  • Positive characteristic,
  • Systems of linear forms,
  • Asymptotic formulae

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