On the generalized Carlitz module

DOI10.1016/j.jnt.2012.10.009zbMath1292.11068arXiv1210.2490OpenAlexW2003892741MaRDI QIDQ1937308

Federico Pellarin

Publication date: 28 February 2013

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.2490

zbMATH Keywords

exponential functiongamma functionCarlitz moduleDrinfeld moduleAnderson-Thakur functiongeneralized Carlitz module

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Drinfel'd modules; higher-dimensional motives, etc. (11G09)

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Difference Galois theory for the ``applied mathematician ⋮ An exact degree for multivariate special polynomials ⋮ On a variant of Schanuel conjecture for the Carlitz exponential

Cites Work

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