A quantitative Khintchine-Groshev type theorem over a field of formal series |
| |
| Authors: | M.M. Dodson |
| |
| Affiliation: | 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 |
| |
| 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. |
| |
| Keywords: | 11783 11761 |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
