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Polynomials defining many units in function fields

Volume 190 / 2019

Mohamed El Kati, Hassan Oukhaba Acta Arithmetica 190 (2019), 351-361 MSC: Primary 16U60; Secondary 11R60. DOI: 10.4064/aa171010-8-10 Published online: 23 July 2019

Abstract

We introduce the notion of polynomials defining units in the case of positive characteristic. We do this by using Carlitz cyclotomic theory. We then describe the polynomials defining infinitely many units, in the spirit of Broche and del Río (2016).

Authors

  • Mohamed El KatiUniversité de Bourgogne Franche-Comté
    Laboratoire de Mathématique (LMB)
    16 Route de Gray
    25030 Besançon Cedex, France
    e-mail
  • Hassan OukhabaUniversité de Bourgogne Franche-Comté
    Laboratoire de Mathématique (LMB)
    16 Route de Gray
    25030 Besançon Cedex, France
    e-mail

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