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Some cases of a conjecture on L-functions of twisted Carlitz modules
Authors:Stefan Ehbauer  Márcia Sarraff Nascimento
Institution:1. Departamento de Matemática, Universidade Federal do Amazonas, Manaus, Brasil;2. Departamento de Matemática, Universidade do Estado do Amazonas, Parintins, Brasil
Abstract:We prove two polynomial identies which are particular cases of a conjecture arising in the theory of L-functions of twisted Carlitz modules. This conjecture is stated in 6 Grishkov, A., Logachev, D. (2016). Resultantal varieties related to zeroes of L-functions of Carlitz modules. Finite Fields Appl. 38:116176. Available at: arxiv.org/pdf/1205.2900.pdf.Crossref], Web of Science ®] Google Scholar], p. 153, 9.3, 9.4] and 8 Logachev, D., Zobnin, A. (2017). L-functions of Carlitz Modules, Resultantal Varieties and Rooted Binary Trees, arXiv:1607.06147v3 math.AG]. Google Scholar], p. 5, 0.2.4].
Keywords:Determinantal varieties  twisted Carlitz modules
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