Hilbert's Tenth Problem for fields of rational functions over finite fields |
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| Authors: | Thanases Pheidas |
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| Affiliation: | (1) Department of Mathematics, Florida International University, 33199 Miami, FL, USA;(2) Present address: Department of Mathematics, University of Illinois, 1409 West Green Street, 61801, IL, USA |
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| Abstract: | Summary We prove that there is no algorithm to solve arbitrary polynomial equations over a field of rational functions in one letter with constants in a finite field of characteristic other than 2 and hence, Hilbert's Tenth Problem for any such field is undecidable.Oblatum 1-XI-1989Supported in part by NSF Grant DMS 8605198. |
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