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| HAL: hal-00146325, version 1 |
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| Short proofs of some results of algebraic independence in non-zero characteristic. |
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| Federico Pellarin 1 |
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| (2007-05-14) |
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| The aim of this note is to give short and almost elementary proofs of two theorems, by Papanikolas and Chang-Yu, on algebraic independence of Carlitz logarithms and values of Carlitz-Goss zeta function, modifying and generalising arguments of Denis which proved earlier special cases of these results. These proofs where sketched in the text [12] and this note is intended to accompany it, somewhat as an informal appendix, by giving full details to some few lines remarks. |
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| 1: | Laboratoire de Mathématiques Nicolas Oresme (LMNO) |
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CNRS : UMR6139 – Université de Caen |
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| Subject | : | Mathematics/Number Theory |
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| Carlitz logarithms – Carlitz-Goss zeta function – algebraic independence |
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| Attached file list to this document: | |||||
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| hal-00146325, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00146325/en/ | |
| oai:hal.archives-ouvertes.fr:hal-00146325 | |
| From: Federico Pellarin | |
| Submitted on: Monday, 14 May 2007 16:38:17 | |
| Updated on: Monday, 14 May 2007 16:38:59 | |
