A quantitative Khintchine-Groshev type theorem over a field of formal series |
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| Authors: | MM Dodson |
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| Institution: | a Department of Mathematics, University of York, Heslington, York, Y010 5DD, UK
b School of Mathematics, University of Edinburgh, JCMB, King's Buildings, Mayfield Road, Edinburgh, EH9 3JZ, UK |
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| Abstract: | An asymptotic formula which holds almost everywhere is obtained for the number of solutions to theDiophantine inequalities ‖qA − p‖ < Ψ(‖g‖), 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. |
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| Keywords: | 11783 11761 |
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