Mellin Transform Formulas for Drinfeld Modules
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DOI: 10.1093/imrn/rnaf343
Abstract: We introduce formulas for the logarithms of Drinfeld modules using a framework recently developed by the second author. We write the logarithm function as the evaluation under a motivic map of a product of rigid… read more here.
Keywords: drinfeld; transform formulas; mellin transform; drinfeld modules ... See more keywords
Cogalois theory and drinfeld modules
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DOI: 10.1142/s0219498820500012
Abstract: In this paper, we generalize the results of [M. Sánchez-Mirafuentes and G. Villa–Salvador, Radical extensions for the Carlitz module, J. Algebra 398 (2014) 284–302] to rank one Drinfeld modules with class number one. We show… read more here.
Keywords: drinfeld modules; cogalois theory; theory drinfeld; drinfeld ... See more keywords
Hopf Quasimodules and Yetter-Drinfeld Modules over Hopf Quasigroups
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DOI: 10.1142/s1005386721000183
Abstract: We introduce the notions of a four-angle Hopf quasimodule and an adjoint quasiaction over a Hopf quasigroup H in a symmetric monoidal category C. If H possesses an adjoint quasiaction, we show that... read more here.
Keywords: hopf quasigroups; quasimodules yetter; hopf quasimodules; drinfeld modules ... See more keywords
Galois criterion for torsion points of Drinfeld modules
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DOI: 10.1142/s1793042121500901
Abstract: In this paper, we formulate the Drinfeld module analogue of a question raised by Lang and studied by Katz on the existence of rational points on abelian varieties over number fields. Given a maximal ideal… read more here.
Keywords: drinfeld module; torsion; drinfeld modules; formula see ... See more keywords