Circularity in Finite Fields and Solutions of the Equations $\boldsymbol{x^{m}+y^{m}-z^{m}=1}$

Fuente: arXiv
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Autori principali: Ke, Wen-Fong, Kiechle, Hubert
Natura: Preprint
Pubblicazione: 2023
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author Ke, Wen-Fong
Kiechle, Hubert
author_facet Ke, Wen-Fong
Kiechle, Hubert
contents An explicit formula for the number of solutions of the equation in the title is given when a certain condition, depending only on the exponent and the characteristic of the field, holds. This formula improves the one given by the authors in an earlier paper.
format Preprint
id arxiv_https___arxiv_org_abs_2307_05586
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Circularity in Finite Fields and Solutions of the Equations $\boldsymbol{x^{m}+y^{m}-z^{m}=1}$
Ke, Wen-Fong
Kiechle, Hubert
Number Theory
Combinatorics
An explicit formula for the number of solutions of the equation in the title is given when a certain condition, depending only on the exponent and the characteristic of the field, holds. This formula improves the one given by the authors in an earlier paper.
title Circularity in Finite Fields and Solutions of the Equations $\boldsymbol{x^{m}+y^{m}-z^{m}=1}$
topic Number Theory
Combinatorics
url https://arxiv.org/abs/2307.05586