Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2013; 28(1): 25-38

Printed January 1, 2013

https://doi.org/10.4134/CKMS.2013.28.1.25

Copyright © The Korean Mathematical Society.

Resultants of cyclotomic polynomials over ${\mathbb{F}_{q}}[T]$ and applications

Sangtae Jeong

Inha University

Abstract

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In this paper we compute the resultants of the Carlitz cyclotomic polynomials and then we address two applications to the setting of the Carlitz module.

Keywords: cyclotomic polynomials, resultants, $p$-resultants, Carlitz modules

MSC numbers: Primary 11R09, 11R60, 12E10

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