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RECIPROCAL MONOGENIC QUINTINOMIALS OF DEGREE $\boldsymbol {2^n}$

Part of: Field extensions Algebraic number theory: global fields

Published online by Cambridge University Press:  04 March 2022

LENNY JONES Open the ORCID record for LENNY JONES [Opens in a new window]
LENNY JONES*
Affiliation:
Department of Mathematics, Shippensburg University, Shippensburg, PA 17257, USA
*
e-mail: lkjone@ship.edu
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Abstract

We prove a new irreducibility result for polynomials over ${\mathbb Q}$ and we use it to construct new infinite families of reciprocal monogenic quintinomials in ${\mathbb Z}[x]$ of degree $2^n$ .

Keywords

reciprocalmonogenicquintinomialirreducible

MSC classification

Primary: 11R09: Polynomials (irreducibility, etc.)
Secondary: 11R04: Algebraic numbers; rings of algebraic integers 12F05: Algebraic extensions
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 106 , Issue 3 , December 2022 , pp. 437 - 447
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Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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