Constructing infinite families of number fields with given indices from quintinomials

Abstract In this paper, for any rational prime p and for a fixed positive integer ν p , we provide infinite families of number fields defined by quintinomials satisfying ν p ( i ( K )) = ν p . We illustrate our results by some computational examples.

Authors

Omar Kchit (ORCID: https://orcid.org/0000-0002-0844-5034)
Lhoussain El Fadil (ORCID: https://orcid.org/0000-0003-4175-8064)

Institutions

Sidi Mohamed Ben Abdellah University (MA)

Publication Details

Journal: Mathematica Slovaca
Published: 2025-02-01
DOI: https://doi.org/10.1515/ms-2025-0003
Primary Topic: Algebraic Geometry and Number Theory
Type: article
Field-Weighted Citation Impact: 0.00

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article

Constructing infinite families of number fields with given indices from quintinomials

Omar Kchit, Lhoussain El Fadil

Feb 1, 2025

Mathematica Slovaca

Algebraic Geometry and Number Theory

article

Constructing infinite families of number fields with given indices from quintinomials

Omar Kchit, Lhoussain El Fadil

February 1, 2025article en

Abstract

Mathematica SlovacaVol. 75(1)

Sidi Mohamed Ben Abdellah University (MA)

Openalex Percentile: Top 93%

Algebraic Geometry and Number Theory

DOI Source OpenAlex

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Constructing infinite families of number fields with given indices from quintinomials — Omar Kchit, Lhoussain El Fadil · Mathematica Slovaca (2025) | TGRS Research Map | TGRS