Note on the rational points of a pfaff curve
Let X be the graph in the plane of a pfaffian function f (in the sense of Khovanskii). Suppose X is not algebraic. This note gives an upper bound for the number of rational points on X of height up to X. The bound is uniform in the order and degre of f.
| Main Author: | |
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| Format: | Journal article |
| Language: | English |
| Published: |
2005
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| _version_ | 1797097668335370240 |
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| author | Pila, J |
| author_facet | Pila, J |
| author_sort | Pila, J |
| collection | OXFORD |
| description | Let X be the graph in the plane of a pfaffian function f (in the sense of Khovanskii). Suppose X is not algebraic. This note gives an upper bound for the number of rational points on X of height up to X. The bound is uniform in the order and degre of f. |
| first_indexed | 2024-03-07T04:58:46Z |
| format | Journal article |
| id | oxford-uuid:d785b707-67bb-4e5b-9391-a875d5e6fecb |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T04:58:46Z |
| publishDate | 2005 |
| record_format | dspace |
| spelling | oxford-uuid:d785b707-67bb-4e5b-9391-a875d5e6fecb2022-03-27T08:41:47ZNote on the rational points of a pfaff curveJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:d785b707-67bb-4e5b-9391-a875d5e6fecbEnglishSymplectic Elements at Oxford2005Pila, JLet X be the graph in the plane of a pfaffian function f (in the sense of Khovanskii). Suppose X is not algebraic. This note gives an upper bound for the number of rational points on X of height up to X. The bound is uniform in the order and degre of f. |
| spellingShingle | Pila, J Note on the rational points of a pfaff curve |
| title | Note on the rational points of a pfaff curve |
| title_full | Note on the rational points of a pfaff curve |
| title_fullStr | Note on the rational points of a pfaff curve |
| title_full_unstemmed | Note on the rational points of a pfaff curve |
| title_short | Note on the rational points of a pfaff curve |
| title_sort | note on the rational points of a pfaff curve |
| work_keys_str_mv | AT pilaj noteontherationalpointsofapfaffcurve |