On the algebraic independence of logarithms of Anderson $t$-modules
| Autor: | Gezmiş, Oğuz, Namoijam, Changningphaabi |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | In the present paper, we determine the algebraic relations among the tractable coordinates of logarithms of Anderson $t$-modules constructed by taking the tensor product of Drinfeld modules of rank $r$ defined over the algebraic closure of the rational function field and their $(r-1)$-st exterior powers with the Carlitz tensor powers. Our results, in the case of the tensor powers of the Carlitz module, generalize the work of Chang and Yu on the algebraic independence of polylogarithms. Comment: 38 pages. The work in v2 of arXiv:2110.02569 has been divided into two works, one of which is this. This paper includes generalizations of the results in section 4, section 5, and the appendix of v2 of arXiv:2110.02569 |
| Databáze: | arXiv |
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